9,617,504

2⁵ × 13 × 61 × 379

For 9,617,504, the 48 positive divisors have a total of 20,779,920. Removing 9,617,504 leaves 11,162,416, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 13 × 61 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,779,920

Proper Divisor Sum 11,162,416

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9617449 ← → #9617507

Radix Representation

Decimal	9617504
Binary	100100101100000001100000 (24 bits)
Octal	0o44540140
Hexadecimal	0x92C060

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 61 104 122 208 244 379 416 488 758 793 976 1,516 1,586 1,952 3,032 3,172 4,927 6,064 6,344 9,854 12,128 12,688 19,708 23,119 25,376 39,416 46,238 78,832 92,476 157,664 184,952 300,547 369,904 601,094 739,808 1,202,188 2,404,376 4,808,752 9,617,504

Collatz Trajectory (75 steps to reach 1)

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

9,617,504 4,808,752 2,404,376 1,202,188 601,094 300,547 901,642 450,821 1,352,464 676,232 338,116 169,058 84,529 253,588 126,794 63,397 190,192 95,096 47,548 23,774 11,887 35,662 17,831 53,494 26,747 80,242 40,121 120,364 60,182 30,091 90,274 45,137 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696

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