λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,985,136

2,985,136

24 × 7 × 11 × 2423
Abundant Even Composite

2,985,136 factors as 2^4 × 7 × 11 × 2423. Its 40 positive divisors give a proper-divisor sum of 4,228,688, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 2423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,213,824
Proper Divisor Sum 4,228,688
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2985133 ← → #2985163

Radix Representation

Decimal 2985136
Binary 1011011000110010110000 (22 bits)
Octal 0o13306260
Hexadecimal 0x2D8CB0

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 2,423 4,846 9,692 16,961 19,384 26,653 33,922 38,768 53,306 67,844 106,612 135,688 186,571 213,224 271,376 373,142 426,448 746,284 1,492,568 2,985,136

Collatz Trajectory (182 steps to reach 1)

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

2,985,136 1,492,568 746,284 373,142 186,571 559,714 279,857 839,572 419,786 209,893 629,680 314,840 157,420 78,710 39,355 118,066 59,033 177,100 88,550 44,275 132,826 66,413 199,240 99,620 49,810 24,905 74,716 37,358 18,679 56,038 28,019 84,058 42,029 126,088 63,044 31,522 15,761 47,284 23,642 11,821 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,985,135 Browse Full Index Next Integer #2,985,137 →