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Atlas › Integer Profiles › Node 2,631,464

2,631,464

23 × 11 × 17 × 1759
Abundant Even Composite

2,631,464 factors as 2^3 × 11 × 17 × 1759. Its 32 positive divisors give a proper-divisor sum of 3,070,936, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 1759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,702,400
Proper Divisor Sum 3,070,936
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2631457 ← → #2631467

Radix Representation

Decimal 2631464
Binary 1010000010011100101000 (22 bits)
Octal 0o12023450
Hexadecimal 0x282728

Divisor Catalog (32)

1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1,496 1,759 3,518 7,036 14,072 19,349 29,903 38,698 59,806 77,396 119,612 154,792 239,224 328,933 657,866 1,315,732 2,631,464

Collatz Trajectory (174 steps to reach 1)

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

2,631,464 1,315,732 657,866 328,933 986,800 493,400 246,700 123,350 61,675 185,026 92,513 277,540 138,770 69,385 208,156 104,078 52,039 156,118 78,059 234,178 117,089 351,268 175,634 87,817 263,452 131,726 65,863 197,590 98,795 296,386 148,193 444,580 222,290 111,145 333,436 166,718 83,359 250,078 125,039 375,118 187,559 562,678 281,339 844,018 422,009 1,266,028 633,014 316,507 949,522 474,761 1,424,284 712,142 356,071 1,068,214 534,107 1,602,322 801,161 2,403,484 1,201,742 600,871

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