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Atlas › Integer Profiles › Node 9,237,704

9,237,704

23 × 7 × 293 × 563
Abundant Even Composite

9,237,704 factors as 2^3 × 7 × 293 × 563. Its 32 positive divisors give a proper-divisor sum of 10,660,216, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 293 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,897,920
Proper Divisor Sum 10,660,216
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9237703 ← → #9237713

Radix Representation

Decimal 9237704
Binary 100011001111010011001000 (24 bits)
Octal 0o43172310
Hexadecimal 0x8CF4C8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 293 563 586 1,126 1,172 2,051 2,252 2,344 3,941 4,102 4,504 7,882 8,204 15,764 16,408 31,528 164,959 329,918 659,836 1,154,713 1,319,672 2,309,426 4,618,852 9,237,704

Collatz Trajectory (212 steps to reach 1)

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

9,237,704 4,618,852 2,309,426 1,154,713 3,464,140 1,732,070 866,035 2,598,106 1,299,053 3,897,160 1,948,580 974,290 487,145 1,461,436 730,718 365,359 1,096,078 548,039 1,644,118 822,059 2,466,178 1,233,089 3,699,268 1,849,634 924,817 2,774,452 1,387,226 693,613 2,080,840 1,040,420 520,210 260,105 780,316 390,158 195,079 585,238 292,619 877,858 438,929 1,316,788 658,394 329,197 987,592 493,796 246,898 123,449 370,348 185,174 92,587 277,762 138,881 416,644 208,322 104,161 312,484 156,242 78,121 234,364 117,182 58,591

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