6,375,772

2² × 13 × 122611

6,375,772 factors as 2^2 × 13 × 122611. Its 12 positive divisors give a proper-divisor sum of 5,640,204, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 122611

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,015,976

Proper Divisor Sum 5,640,204

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6375769 ← → #6375823

Radix Representation

Decimal	6375772
Binary	11000010100100101011100 (23 bits)
Octal	0o30244534
Hexadecimal	0x61495C

Divisor Catalog (12)

1 2 4 13 26 52 122,611 245,222 490,444 1,593,943 3,187,886 6,375,772

Collatz Trajectory (103 steps to reach 1)

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

6,375,772 3,187,886 1,593,943 4,781,830 2,390,915 7,172,746 3,586,373 10,759,120 5,379,560 2,689,780 1,344,890 672,445 2,017,336 1,008,668 504,334 252,167 756,502 378,251 1,134,754 567,377 1,702,132 851,066 425,533 1,276,600 638,300 319,150 159,575 478,726 239,363 718,090 359,045 1,077,136 538,568 269,284 134,642 67,321 201,964 100,982 50,491 151,474 75,737 227,212 113,606 56,803 170,410 85,205 255,616 127,808 63,904 31,952 15,976 7,988 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124

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