λ
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Atlas › Integer Profiles › Node 7,162,008

7,162,008

23 × 3 × 7 × 89 × 479
Abundant Even Composite

7,162,008 factors as 2^3 × 3 × 7 × 89 × 479. Its 64 positive divisors give a proper-divisor sum of 13,573,992, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 89 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,736,000
Proper Divisor Sum 13,573,992
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7162007 ← → #7162009

Radix Representation

Decimal 7162008
Binary 11011010100100010011000 (23 bits)
Octal 0o33244230
Hexadecimal 0x6D4898

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 479 534 623 712 958 1,068 1,246 1,437 1,869 1,916 2,136 2,492 2,874 3,353 3,738 3,832 4,984 5,748 6,706 7,476 10,059 11,496 13,412 14,952 20,118 26,824 40,236 42,631 80,472 85,262 127,893 170,524 255,786 298,417 341,048 511,572 596,834 895,251 1,023,144 1,193,668

Collatz Trajectory (191 steps to reach 1)

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

7,162,008 3,581,004 1,790,502 895,251 2,685,754 1,342,877 4,028,632 2,014,316 1,007,158 503,579 1,510,738 755,369 2,266,108 1,133,054 566,527 1,699,582 849,791 2,549,374 1,274,687 3,824,062 1,912,031 5,736,094 2,868,047 8,604,142 4,302,071 12,906,214 6,453,107 19,359,322 9,679,661 29,038,984 14,519,492 7,259,746 3,629,873 10,889,620 5,444,810 2,722,405 8,167,216 4,083,608 2,041,804 1,020,902 510,451 1,531,354 765,677 2,297,032 1,148,516 574,258 287,129 861,388 430,694 215,347 646,042 323,021 969,064 484,532 242,266 121,133 363,400 181,700 90,850 45,425

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