9,724,175

5² × 41 × 53 × 179

9,724,175 is odd and not a perfect square. Its factorization is 5^2 × 41 × 53 × 179 and its 24 divisors sum to 12,655,440.

Prime Factor Structure

Factorization String 5^2 × 41 × 53 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,655,440

Proper Divisor Sum 2,931,265

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9724171 ← → #9724201

Radix Representation

Decimal	9724175
Binary	100101000110000100001111 (24 bits)
Octal	0o45060417
Hexadecimal	0x94610F

Divisor Catalog (24)

1 5 25 41 53 179 205 265 895 1,025 1,325 2,173 4,475 7,339 9,487 10,865 36,695 47,435 54,325 183,475 237,175 388,967 1,944,835 9,724,175

Collatz Trajectory (207 steps to reach 1)

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

9,724,175 29,172,526 14,586,263 43,758,790 21,879,395 65,638,186 32,819,093 98,457,280 49,228,640 24,614,320 12,307,160 6,153,580 3,076,790 1,538,395 4,615,186 2,307,593 6,922,780 3,461,390 1,730,695 5,192,086 2,596,043 7,788,130 3,894,065 11,682,196 5,841,098 2,920,549 8,761,648 4,380,824 2,190,412 1,095,206 547,603 1,642,810 821,405 2,464,216 1,232,108 616,054 308,027 924,082 462,041 1,386,124 693,062 346,531 1,039,594 519,797 1,559,392 779,696 389,848 194,924 97,462 48,731 146,194 73,097 219,292 109,646 54,823 164,470 82,235 246,706 123,353 370,060

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