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Atlas › Integer Profiles › Node 32,097,598

32,097,598

2 × 13 × 17 × 101 × 719
Deficient Even Composite

32,097,598 factors as 2 × 13 × 17 × 101 × 719. Its 32 positive divisors give a proper-divisor sum of 23,423,042, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 101 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,520,640
Proper Divisor Sum 23,423,042
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #32097523 ← → #32097613

Radix Representation

Decimal 32097598
Binary 1111010011100010100111110 (25 bits)
Octal 0o172342476
Hexadecimal 0x1E9C53E

Divisor Catalog (32)

1 2 13 17 26 34 101 202 221 442 719 1,313 1,438 1,717 2,626 3,434 9,347 12,223 18,694 22,321 24,446 44,642 72,619 145,238 158,899 317,798 944,047 1,234,523 1,888,094 2,469,046 16,048,799 32,097,598

Collatz Trajectory (157 steps to reach 1)

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

32,097,598 16,048,799 48,146,398 24,073,199 72,219,598 36,109,799 108,329,398 54,164,699 162,494,098 81,247,049 243,741,148 121,870,574 60,935,287 182,805,862 91,402,931 274,208,794 137,104,397 411,313,192 205,656,596 102,828,298 51,414,149 154,242,448 77,121,224 38,560,612 19,280,306 9,640,153 28,920,460 14,460,230 7,230,115 21,690,346 10,845,173 32,535,520 16,267,760 8,133,880 4,066,940 2,033,470 1,016,735 3,050,206 1,525,103 4,575,310 2,287,655 6,862,966 3,431,483 10,294,450 5,147,225 15,441,676 7,720,838 3,860,419 11,581,258 5,790,629 17,371,888 8,685,944 4,342,972 2,171,486 1,085,743 3,257,230 1,628,615 4,885,846 2,442,923 7,328,770

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