5,701,419

3² × 41 × 15451

Starting at 5,701,419, the Collatz iteration reaches 1 after 152 steps. The first transition is 17104258; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 41 × 15451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,436,792

Proper Divisor Sum 2,735,373

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5701417 ← → #5701433

Radix Representation

Decimal	5701419
Binary	10101101111111100101011 (23 bits)
Octal	0o25577453
Hexadecimal	0x56FF2B

Divisor Catalog (12)

1 3 9 41 123 369 15,451 46,353 139,059 633,491 1,900,473 5,701,419

Collatz Trajectory (152 steps to reach 1)

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

5,701,419 17,104,258 8,552,129 25,656,388 12,828,194 6,414,097 19,242,292 9,621,146 4,810,573 14,431,720 7,215,860 3,607,930 1,803,965 5,411,896 2,705,948 1,352,974 676,487 2,029,462 1,014,731 3,044,194 1,522,097 4,566,292 2,283,146 1,141,573 3,424,720 1,712,360 856,180 428,090 214,045 642,136 321,068 160,534 80,267 240,802 120,401 361,204 180,602 90,301 270,904 135,452 67,726 33,863 101,590 50,795 152,386 76,193 228,580 114,290 57,145 171,436 85,718 42,859 128,578 64,289 192,868 96,434 48,217 144,652 72,326 36,163

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