9,257,624

2³ × 1157203

For 9,257,624, the 8 positive divisors have a total of 17,358,060. Removing 9,257,624 leaves 8,100,436, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 1157203

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 17,358,060

Proper Divisor Sum 8,100,436

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9257603 ← → #9257627

Radix Representation

Decimal	9257624
Binary	100011010100001010011000 (24 bits)
Octal	0o43241230
Hexadecimal	0x8D4298

Divisor Catalog (8)

1 2 4 8 1,157,203 2,314,406 4,628,812 9,257,624

Collatz Trajectory (256 steps to reach 1)

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

9,257,624 4,628,812 2,314,406 1,157,203 3,471,610 1,735,805 5,207,416 2,603,708 1,301,854 650,927 1,952,782 976,391 2,929,174 1,464,587 4,393,762 2,196,881 6,590,644 3,295,322 1,647,661 4,942,984 2,471,492 1,235,746 617,873 1,853,620 926,810 463,405 1,390,216 695,108 347,554 173,777 521,332 260,666 130,333 391,000 195,500 97,750 48,875 146,626 73,313 219,940 109,970 54,985 164,956 82,478 41,239 123,718 61,859 185,578 92,789 278,368 139,184 69,592 34,796 17,398 8,699 26,098 13,049 39,148 19,574 9,787

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