5,205,317

13 × 400409

Starting at 5,205,317, the Collatz iteration reaches 1 after 188 steps. The first transition is 15615952; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 400409

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 5,605,740

Proper Divisor Sum 400,423

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5205307 ← → #5205329

Radix Representation

Decimal	5205317
Binary	10011110110110101000101 (23 bits)
Octal	0o23666505
Hexadecimal	0x4F6D45

Divisor Catalog (4)

1 13 400,409 5,205,317

Collatz Trajectory (188 steps to reach 1)

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

5,205,317 15,615,952 7,807,976 3,903,988 1,951,994 975,997 2,927,992 1,463,996 731,998 365,999 1,097,998 548,999 1,646,998 823,499 2,470,498 1,235,249 3,705,748 1,852,874 926,437 2,779,312 1,389,656 694,828 347,414 173,707 521,122 260,561 781,684 390,842 195,421 586,264 293,132 146,566 73,283 219,850 109,925 329,776 164,888 82,444 41,222 20,611 61,834 30,917 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507

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