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Atlas › Integer Profiles › Node 8,097,032

8,097,032

23 × 17 × 29 × 2053
Abundant Even Composite

8,097,032 factors as 2^3 × 17 × 29 × 2053. Its 32 positive divisors give a proper-divisor sum of 8,540,368, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 29 × 2053
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,637,400
Proper Divisor Sum 8,540,368
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8097031 ← → #8097071

Radix Representation

Decimal 8097032
Binary 11110111000110100001000 (23 bits)
Octal 0o36706410
Hexadecimal 0x7B8D08

Divisor Catalog (32)

1 2 4 8 17 29 34 58 68 116 136 232 493 986 1,972 2,053 3,944 4,106 8,212 16,424 34,901 59,537 69,802 119,074 139,604 238,148 279,208 476,296 1,012,129 2,024,258 4,048,516 8,097,032

Collatz Trajectory (137 steps to reach 1)

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

8,097,032 4,048,516 2,024,258 1,012,129 3,036,388 1,518,194 759,097 2,277,292 1,138,646 569,323 1,707,970 853,985 2,561,956 1,280,978 640,489 1,921,468 960,734 480,367 1,441,102 720,551 2,161,654 1,080,827 3,242,482 1,621,241 4,863,724 2,431,862 1,215,931 3,647,794 1,823,897 5,471,692 2,735,846 1,367,923 4,103,770 2,051,885 6,155,656 3,077,828 1,538,914 769,457 2,308,372 1,154,186 577,093 1,731,280 865,640 432,820 216,410 108,205 324,616 162,308 81,154 40,577 121,732 60,866 30,433 91,300 45,650 22,825 68,476 34,238 17,119 51,358

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