740,642

2 × 7 × 52903

740,642 factors as 2 × 7 × 52903. Its 8 positive divisors give a proper-divisor sum of 529,054, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 7 × 52903

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,269,696

Proper Divisor Sum 529,054

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #740603 ← → #740651

Radix Representation

Decimal	740642
Binary	10110100110100100010 (20 bits)
Octal	0o2646442
Hexadecimal	0xB4D22

Divisor Catalog (8)

1 2 7 14 52,903 105,806 370,321 740,642

Collatz Trajectory (180 steps to reach 1)

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

740,642 370,321 1,110,964 555,482 277,741 833,224 416,612 208,306 104,153 312,460 156,230 78,115 234,346 117,173 351,520 175,760 87,880 43,940 21,970 10,985 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192

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