751,612

2² × 41 × 4583

751,612 factors as 2^2 × 41 × 4583. Its 12 positive divisors give a proper-divisor sum of 596,084, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 4583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,347,696

Proper Divisor Sum 596,084

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #751609 ← → #751613

Radix Representation

Decimal	751612
Binary	10110111011111111100 (20 bits)
Octal	0o2673774
Hexadecimal	0xB77FC

Divisor Catalog (12)

1 2 4 41 82 164 4,583 9,166 18,332 187,903 375,806 751,612

Collatz Trajectory (110 steps to reach 1)

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

751,612 375,806 187,903 563,710 281,855 845,566 422,783 1,268,350 634,175 1,902,526 951,263 2,853,790 1,426,895 4,280,686 2,140,343 6,421,030 3,210,515 9,631,546 4,815,773 14,447,320 7,223,660 3,611,830 1,805,915 5,417,746 2,708,873 8,126,620 4,063,310 2,031,655 6,094,966 3,047,483 9,142,450 4,571,225 13,713,676 6,856,838 3,428,419 10,285,258 5,142,629 15,427,888 7,713,944 3,856,972 1,928,486 964,243 2,892,730 1,446,365 4,339,096 2,169,548 1,084,774 542,387 1,627,162 813,581 2,440,744 1,220,372 610,186 305,093 915,280 457,640 228,820 114,410 57,205 171,616

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