3,165,478

2 × 53 × 29863

Starting at 3,165,478, the Collatz iteration reaches 1 after 164 steps. The first transition is 1582739; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 29863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,837,968

Proper Divisor Sum 1,672,490

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3165439 ← → #3165479

Radix Representation

Decimal	3165478
Binary	1100000100110100100110 (22 bits)
Octal	0o14046446
Hexadecimal	0x304D26

Divisor Catalog (8)

1 2 53 106 29,863 59,726 1,582,739 3,165,478

Collatz Trajectory (164 steps to reach 1)

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

3,165,478 1,582,739 4,748,218 2,374,109 7,122,328 3,561,164 1,780,582 890,291 2,670,874 1,335,437 4,006,312 2,003,156 1,001,578 500,789 1,502,368 751,184 375,592 187,796 93,898 46,949 140,848 70,424 35,212 17,606 8,803 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94

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