λ
Integer Codex

6,118,938

2 × 32 × 7 × 48563
Abundant Even Composite

For 6,118,938, the 24 positive divisors have a total of 15,151,968. Removing 6,118,938 leaves 9,033,030, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 48563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,151,968
Proper Divisor Sum 9,033,030
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6118927 ← → #6118967

Radix Representation

Decimal 6118938
Binary 10111010101111000011010 (23 bits)
Octal 0o27257032
Hexadecimal 0x5D5E1A

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 48,563 97,126 145,689 291,378 339,941 437,067 679,882 874,134 1,019,823 2,039,646 3,059,469 6,118,938

Collatz Trajectory (227 steps to reach 1)

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

6,118,938 3,059,469 9,178,408 4,589,204 2,294,602 1,147,301 3,441,904 1,720,952 860,476 430,238 215,119 645,358 322,679 968,038 484,019 1,452,058 726,029 2,178,088 1,089,044 544,522 272,261 816,784 408,392 204,196 102,098 51,049 153,148 76,574 38,287 114,862 57,431 172,294 86,147 258,442 129,221 387,664 193,832 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819

More profiles

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