9,608,728

2³ × 811 × 1481

9,608,728 factors as 2^3 × 811 × 1481. Its 16 positive divisors give a proper-divisor sum of 8,442,032, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 811 × 1481

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,050,760

Proper Divisor Sum 8,442,032

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9608717 ← → #9608743

Radix Representation

Decimal	9608728
Binary	100100101001111000011000 (24 bits)
Octal	0o44517030
Hexadecimal	0x929E18

Divisor Catalog (16)

1 2 4 8 811 1,481 1,622 2,962 3,244 5,924 6,488 11,848 1,201,091 2,402,182 4,804,364 9,608,728

Collatz Trajectory (93 steps to reach 1)

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

9,608,728 4,804,364 2,402,182 1,201,091 3,603,274 1,801,637 5,404,912 2,702,456 1,351,228 675,614 337,807 1,013,422 506,711 1,520,134 760,067 2,280,202 1,140,101 3,420,304 1,710,152 855,076 427,538 213,769 641,308 320,654 160,327 480,982 240,491 721,474 360,737 1,082,212 541,106 270,553 811,660 405,830 202,915 608,746 304,373 913,120 456,560 228,280 114,140 57,070 28,535 85,606 42,803 128,410 64,205 192,616 96,308 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693

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