12,584,456

2³ × 1573057

12,584,456 factors as 2^3 × 1573057. Its 8 positive divisors give a proper-divisor sum of 11,011,414, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^3 × 1573057

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 23,595,870

Proper Divisor Sum 11,011,414

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #12584449 ← → #12584501

Radix Representation

Decimal	12584456
Binary	110000000000011000001000 (24 bits)
Octal	0o60003010
Hexadecimal	0xC00608

Divisor Catalog (8)

1 2 4 8 1,573,057 3,146,114 6,292,228 12,584,456

Collatz Trajectory (166 steps to reach 1)

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

12,584,456 6,292,228 3,146,114 1,573,057 4,719,172 2,359,586 1,179,793 3,539,380 1,769,690 884,845 2,654,536 1,327,268 663,634 331,817 995,452 497,726 248,863 746,590 373,295 1,119,886 559,943 1,679,830 839,915 2,519,746 1,259,873 3,779,620 1,889,810 944,905 2,834,716 1,417,358 708,679 2,126,038 1,063,019 3,189,058 1,594,529 4,783,588 2,391,794 1,195,897 3,587,692 1,793,846 896,923 2,690,770 1,345,385 4,036,156 2,018,078 1,009,039 3,027,118 1,513,559 4,540,678 2,270,339 6,811,018 3,405,509 10,216,528 5,108,264 2,554,132 1,277,066 638,533 1,915,600 957,800 478,900

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