40,495,312

2⁴ × 11² × 13 × 1609

40,495,312 factors as 2^4 × 11^2 × 13 × 1609. Its 60 positive divisors give a proper-divisor sum of 52,437,108, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 11^2 × 13 × 1609

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 92,932,420

Proper Divisor Sum 52,437,108

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #40495307 ← → #40495333

Radix Representation

Decimal	40495312
Binary	10011010011110100011010000 (26 bits)
Octal	0o232364320
Hexadecimal	0x269E8D0

Divisor Catalog (60)

1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1,144 1,573 1,609 1,936 2,288 3,146 3,218 6,292 6,436 12,584 12,872 17,699 20,917 25,168 25,744 35,398 41,834 70,796 83,668 141,592 167,336 194,689 230,087 283,184 334,672 389,378 460,174 778,756 920,348 1,557,512 1,840,696 2,530,957 3,115,024 3,681,392 5,061,914 10,123,828 20,247,656 40,495,312

Collatz Trajectory (108 steps to reach 1)

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

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 42,820

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