λ
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Atlas › Integer Profiles › Node 9,239,685

9,239,685

3 × 5 × 72 × 13 × 967
Abundant Odd Composite

9,239,685 factors as 3 × 5 × 7^2 × 13 × 967. Its 48 positive divisors give a proper-divisor sum of 9,299,451, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 13 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,539,136
Proper Divisor Sum 9,299,451
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9239663 ← → #9239689

Radix Representation

Decimal 9239685
Binary 100011001111110010000101 (24 bits)
Octal 0o43176205
Hexadecimal 0x8CFC85

Divisor Catalog (48)

1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 967 1,365 1,911 2,901 3,185 4,835 6,769 9,555 12,571 14,505 20,307 33,845 37,713 47,383 62,855 87,997 101,535 142,149 188,565 236,915 263,991 439,985 615,979 710,745 1,319,955 1,847,937 3,079,895 9,239,685

Collatz Trajectory (132 steps to reach 1)

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

9,239,685 27,719,056 13,859,528 6,929,764 3,464,882 1,732,441 5,197,324 2,598,662 1,299,331 3,897,994 1,948,997 5,846,992 2,923,496 1,461,748 730,874 365,437 1,096,312 548,156 274,078 137,039 411,118 205,559 616,678 308,339 925,018 462,509 1,387,528 693,764 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093 156,280 78,140 39,070 19,535 58,606

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