752,252

2² × 61 × 3083

752,252 factors as 2^2 × 61 × 3083. Its 12 positive divisors give a proper-divisor sum of 586,204, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 3083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,338,456

Proper Divisor Sum 586,204

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #752251 ← → #752263

Radix Representation

Decimal	752252
Binary	10110111101001111100 (20 bits)
Octal	0o2675174
Hexadecimal	0xB7A7C

Divisor Catalog (12)

1 2 4 61 122 244 3,083 6,166 12,332 188,063 376,126 752,252

Collatz Trajectory (136 steps to reach 1)

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

752,252 376,126 188,063 564,190 282,095 846,286 423,143 1,269,430 634,715 1,904,146 952,073 2,856,220 1,428,110 714,055 2,142,166 1,071,083 3,213,250 1,606,625 4,819,876 2,409,938 1,204,969 3,614,908 1,807,454 903,727 2,711,182 1,355,591 4,066,774 2,033,387 6,100,162 3,050,081 9,150,244 4,575,122 2,287,561 6,862,684 3,431,342 1,715,671 5,147,014 2,573,507 7,720,522 3,860,261 11,580,784 5,790,392 2,895,196 1,447,598 723,799 2,171,398 1,085,699 3,257,098 1,628,549 4,885,648 2,442,824 1,221,412 610,706 305,353 916,060 458,030 229,015 687,046 343,523 1,030,570

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