12,825,688

2³ × 467 × 3433

12,825,688 factors as 2^3 × 467 × 3433. Its 16 positive divisors give a proper-divisor sum of 11,280,992, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 467 × 3433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 24,106,680

Proper Divisor Sum 11,280,992

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #12825679 ← → #12825691

Radix Representation

Decimal	12825688
Binary	110000111011010001011000 (24 bits)
Octal	0o60732130
Hexadecimal	0xC3B458

Divisor Catalog (16)

1 2 4 8 467 934 1,868 3,433 3,736 6,866 13,732 27,464 1,603,211 3,206,422 6,412,844 12,825,688

Collatz Trajectory (78 steps to reach 1)

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

12,825,688 6,412,844 3,206,422 1,603,211 4,809,634 2,404,817 7,214,452 3,607,226 1,803,613 5,410,840 2,705,420 1,352,710 676,355 2,029,066 1,014,533 3,043,600 1,521,800 760,900 380,450 190,225 570,676 285,338 142,669 428,008 214,004 107,002 53,501 160,504 80,252 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261

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