40,103,427

3 × 7 × 13 × 71 × 2069

40,103,427 factors as 3 × 7 × 13 × 71 × 2069. Its 32 positive divisors give a proper-divisor sum of 26,666,493, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 71 × 2069

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 66,769,920

Proper Divisor Sum 26,666,493

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #40103419 ← → #40103431

Radix Representation

Decimal	40103427
Binary	10011000111110111000000011 (26 bits)
Octal	0o230767003
Hexadecimal	0x263EE03

Divisor Catalog (32)

Collatz Trajectory (90 steps to reach 1)

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

40,103,427 120,310,282 60,155,141 180,465,424 90,232,712 45,116,356 22,558,178 11,279,089 33,837,268 16,918,634 8,459,317 25,377,952 12,688,976 6,344,488 3,172,244 1,586,122 793,061 2,379,184 1,189,592 594,796 297,398 148,699 446,098 223,049 669,148 334,574 167,287 501,862 250,931 752,794 376,397 1,129,192 564,596 282,298 141,149 423,448 211,724 105,862 52,931 158,794 79,397 238,192 119,096 59,548 29,774 14,887 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066

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