9,252,736

2⁷ × 72287

9,252,736 factors as 2^7 × 72287. Its 16 positive divisors give a proper-divisor sum of 9,180,704, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^7 × 72287

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,433,440

Proper Divisor Sum 9,180,704

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9252721 ← → #9252773

Radix Representation

Decimal	9252736
Binary	100011010010111110000000 (24 bits)
Octal	0o43227600
Hexadecimal	0x8D2F80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 72,287 144,574 289,148 578,296 1,156,592 2,313,184 4,626,368 9,252,736

Collatz Trajectory (238 steps to reach 1)

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

9,252,736 4,626,368 2,313,184 1,156,592 578,296 289,148 144,574 72,287 216,862 108,431 325,294 162,647 487,942 243,971 731,914 365,957 1,097,872 548,936 274,468 137,234 68,617 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696

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