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Atlas › Integer Profiles › Node 5,497,464

5,497,464

23 × 3 × 7 × 43 × 761
Abundant Even Composite

5,497,464 factors as 2^3 × 3 × 7 × 43 × 761. Its 64 positive divisors give a proper-divisor sum of 10,595,976, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 43 × 761
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,093,440
Proper Divisor Sum 10,595,976
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5497463 ← → #5497469

Radix Representation

Decimal 5497464
Binary 10100111110001001111000 (23 bits)
Octal 0o24761170
Hexadecimal 0x53E278

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 761 903 1,032 1,204 1,522 1,806 2,283 2,408 3,044 3,612 4,566 5,327 6,088 7,224 9,132 10,654 15,981 18,264 21,308 31,962 32,723 42,616 63,924 65,446 98,169 127,848 130,892 196,338 229,061 261,784 392,676 458,122 687,183 785,352 916,244

Collatz Trajectory (82 steps to reach 1)

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

5,497,464 2,748,732 1,374,366 687,183 2,061,550 1,030,775 3,092,326 1,546,163 4,638,490 2,319,245 6,957,736 3,478,868 1,739,434 869,717 2,609,152 1,304,576 652,288 326,144 163,072 81,536 40,768 20,384 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976

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