λ
Integer Codex

6,237,704

23 × 11 × 73 × 971
Abundant Even Composite

For 6,237,704, the 32 positive divisors have a total of 12,947,040. Removing 6,237,704 leaves 6,709,336, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 11 × 73 × 971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,947,040
Proper Divisor Sum 6,709,336
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6237701 ← → #6237739

Radix Representation

Decimal 6237704
Binary 10111110010111000001000 (23 bits)
Octal 0o27627010
Hexadecimal 0x5F2E08

Divisor Catalog (32)

1 2 4 8 11 22 44 73 88 146 292 584 803 971 1,606 1,942 3,212 3,884 6,424 7,768 10,681 21,362 42,724 70,883 85,448 141,766 283,532 567,064 779,713 1,559,426 3,118,852 6,237,704

Collatz Trajectory (165 steps to reach 1)

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

6,237,704 3,118,852 1,559,426 779,713 2,339,140 1,169,570 584,785 1,754,356 877,178 438,589 1,315,768 657,884 328,942 164,471 493,414 246,707 740,122 370,061 1,110,184 555,092 277,546 138,773 416,320 208,160 104,080 52,040 26,020 13,010 6,505 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31

More profiles

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