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Atlas › Integer Profiles › Node 6,237,952

6,237,952

28 × 7 × 592
Abundant Even Composite

6,237,952 factors as 2^8 × 7 × 59^2. Its 54 positive divisors give a proper-divisor sum of 8,237,656, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^8 × 7 × 59^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 14,475,608
Proper Divisor Sum 8,237,656
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6237949 ← → #6238009

Radix Representation

Decimal 6237952
Binary 10111110010111100000000 (23 bits)
Octal 0o27627400
Hexadecimal 0x5F2F00

Divisor Catalog (54)

1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 413 448 472 826 896 944 1,652 1,792 1,888 3,304 3,481 3,776 6,608 6,962 7,552 13,216 13,924 15,104 24,367 26,432 27,848 48,734 52,864 55,696 97,468 105,728 111,392 194,936 222,784 389,872 445,568 779,744 891,136 1,559,488 3,118,976 6,237,952

Collatz Trajectory (72 steps to reach 1)

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

6,237,952 3,118,976 1,559,488 779,744 389,872 194,936 97,468 48,734 24,367 73,102 36,551 109,654 54,827 164,482 82,241 246,724 123,362 61,681 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34

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