λ
Prime Ledger

6,172,737

3 × 29 × 70951
Deficient Odd Composite

6,172,737 has the prime decomposition 3 × 29 × 70951. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 70951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,514,240
Proper Divisor Sum 2,341,503
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6172721 ← → #6172741

Radix Representation

Decimal 6172737
Binary 10111100011000001000001 (23 bits)
Octal 0o27430101
Hexadecimal 0x5E3041

Divisor Catalog (8)

1 3 29 87 70,951 212,853 2,057,579 6,172,737

Collatz Trajectory (134 steps to reach 1)

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

6,172,737 18,518,212 9,259,106 4,629,553 13,888,660 6,944,330 3,472,165 10,416,496 5,208,248 2,604,124 1,302,062 651,031 1,953,094 976,547 2,929,642 1,464,821 4,394,464 2,197,232 1,098,616 549,308 274,654 137,327 411,982 205,991 617,974 308,987 926,962 463,481 1,390,444 695,222 347,611 1,042,834 521,417 1,564,252 782,126 391,063 1,173,190 586,595 1,759,786 879,893 2,639,680 1,319,840 659,920 329,960 164,980 82,490 41,245 123,736 61,868 30,934 15,467 46,402 23,201 69,604 34,802 17,401 52,204 26,102 13,051 39,154

More profiles

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