λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,990,624

80,990,624

25 × 112 × 13 × 1609
Abundant Even Composite

80,990,624 factors as 2^5 × 11^2 × 13 × 1609. Its 72 positive divisors give a proper-divisor sum of 107,872,036, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^5 × 11^2 × 13 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 188,862,660
Proper Divisor Sum 107,872,036
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #80990617 ← → #80990627

Radix Representation

Decimal 80990624
Binary 100110100111101000110100000 (27 bits)
Octal 0o464750640
Hexadecimal 0x4D3D1A0

Divisor Catalog (60 of 72)

1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1,144 1,573 1,609 1,936 2,288 3,146 3,218 3,872 4,576 6,292 6,436 12,584 12,872 17,699 20,917 25,168 25,744 35,398 41,834 50,336 51,488 70,796 83,668 141,592 167,336 194,689 230,087 283,184 334,672 389,378 460,174 566,368 669,344 778,756 920,348

Collatz Trajectory (109 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

80,990,624 40,495,312 20,247,656 10,123,828 5,061,914 2,530,957 7,592,872 3,796,436 1,898,218 949,109 2,847,328 1,423,664 711,832 355,916 177,958 88,979 266,938 133,469 400,408 200,204 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #80,990,623 Browse Full Index Next Integer #80,990,625 →