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Atlas › Integer Profiles › Node 32,130,476

32,130,476

22 × 72 × 17 × 9643
Abundant Even Composite

32,130,476 factors as 2^2 × 7^2 × 17 × 9643. Its 36 positive divisors give a proper-divisor sum of 37,132,732, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 17 × 9643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 69,263,208
Proper Divisor Sum 37,132,732
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #32130457 ← → #32130479

Radix Representation

Decimal 32130476
Binary 1111010100100010110101100 (25 bits)
Octal 0o172442654
Hexadecimal 0x1EA45AC

Divisor Catalog (36)

1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1,666 3,332 9,643 19,286 38,572 67,501 135,002 163,931 270,004 327,862 472,507 655,724 945,014 1,147,517 1,890,028 2,295,034 4,590,068 8,032,619 16,065,238 32,130,476

Collatz Trajectory (263 steps to reach 1)

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

32,130,476 16,065,238 8,032,619 24,097,858 12,048,929 36,146,788 18,073,394 9,036,697 27,110,092 13,555,046 6,777,523 20,332,570 10,166,285 30,498,856 15,249,428 7,624,714 3,812,357 11,437,072 5,718,536 2,859,268 1,429,634 714,817 2,144,452 1,072,226 536,113 1,608,340 804,170 402,085 1,206,256 603,128 301,564 150,782 75,391 226,174 113,087 339,262 169,631 508,894 254,447 763,342 381,671 1,145,014 572,507 1,717,522 858,761 2,576,284 1,288,142 644,071 1,932,214 966,107 2,898,322 1,449,161 4,347,484 2,173,742 1,086,871 3,260,614 1,630,307 4,890,922 2,445,461 7,336,384

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