λ
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Atlas › Integer Profiles › Node 9,178,404

9,178,404

22 × 3 × 179 × 4273
Abundant Even Composite

9,178,404 factors as 2^2 × 3 × 179 × 4273. Its 24 positive divisors give a proper-divisor sum of 12,362,556, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 179 × 4273
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,540,960
Proper Divisor Sum 12,362,556
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9178399 ← → #9178409

Radix Representation

Decimal 9178404
Binary 100011000000110100100100 (24 bits)
Octal 0o43006444
Hexadecimal 0x8C0D24

Divisor Catalog (24)

1 2 3 4 6 12 179 358 537 716 1,074 2,148 4,273 8,546 12,819 17,092 25,638 51,276 764,867 1,529,734 2,294,601 3,059,468 4,589,202 9,178,404

Collatz Trajectory (225 steps to reach 1)

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

9,178,404 4,589,202 2,294,601 6,883,804 3,441,902 1,720,951 5,162,854 2,581,427 7,744,282 3,872,141 11,616,424 5,808,212 2,904,106 1,452,053 4,356,160 2,178,080 1,089,040 544,520 272,260 136,130 68,065 204,196 102,098 51,049 153,148 76,574 38,287 114,862 57,431 172,294 86,147 258,442 129,221 387,664 193,832 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229

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