5,145,934

2 × 17² × 29 × 307

Starting at 5,145,934, the Collatz iteration reaches 1 after 219 steps. The first transition is 2572967; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 17^2 × 29 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,510,040

Proper Divisor Sum 3,364,106

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5145901 ← → #5145937

Radix Representation

Decimal	5145934
Binary	10011101000010101001110 (23 bits)
Octal	0o23502516
Hexadecimal	0x4E854E

Divisor Catalog (24)

1 2 17 29 34 58 289 307 493 578 614 986 5,219 8,381 8,903 10,438 16,762 17,806 88,723 151,351 177,446 302,702 2,572,967 5,145,934

Collatz Trajectory (219 steps to reach 1)

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

5,145,934 2,572,967 7,718,902 3,859,451 11,578,354 5,789,177 17,367,532 8,683,766 4,341,883 13,025,650 6,512,825 19,538,476 9,769,238 4,884,619 14,653,858 7,326,929 21,980,788 10,990,394 5,495,197 16,485,592 8,242,796 4,121,398 2,060,699 6,182,098 3,091,049 9,273,148 4,636,574 2,318,287 6,954,862 3,477,431 10,432,294 5,216,147 15,648,442 7,824,221 23,472,664 11,736,332 5,868,166 2,934,083 8,802,250 4,401,125 13,203,376 6,601,688 3,300,844 1,650,422 825,211 2,475,634 1,237,817 3,713,452 1,856,726 928,363 2,785,090 1,392,545 4,177,636 2,088,818 1,044,409 3,133,228 1,566,614 783,307 2,349,922 1,174,961

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