746,252

2² × 13 × 113 × 127

746,252 factors as 2^2 × 13 × 113 × 127. Its 24 positive divisors give a proper-divisor sum of 683,764, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 113 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,430,016

Proper Divisor Sum 683,764

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #746243 ← → #746267

Radix Representation

Decimal	746252
Binary	10110110001100001100 (20 bits)
Octal	0o2661414
Hexadecimal	0xB630C

Divisor Catalog (24)

Collatz Trajectory (118 steps to reach 1)

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

746,252 373,126 186,563 559,690 279,845 839,536 419,768 209,884 104,942 52,471 157,414 78,707 236,122 118,061 354,184 177,092 88,546 44,273 132,820 66,410 33,205 99,616 49,808 24,904 12,452 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430

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