6,887,621

13 × 89 × 5953

Starting at 6,887,621, the Collatz iteration reaches 1 after 178 steps. The first transition is 20662864; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 89 × 5953

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,502,040

Proper Divisor Sum 614,419

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6887609 ← → #6887627

Radix Representation

Decimal	6887621
Binary	11010010001100011000101 (23 bits)
Octal	0o32214305
Hexadecimal	0x6918C5

Divisor Catalog (8)

1 13 89 1,157 5,953 77,389 529,817 6,887,621

Collatz Trajectory (178 steps to reach 1)

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

6,887,621 20,662,864 10,331,432 5,165,716 2,582,858 1,291,429 3,874,288 1,937,144 968,572 484,286 242,143 726,430 363,215 1,089,646 544,823 1,634,470 817,235 2,451,706 1,225,853 3,677,560 1,838,780 919,390 459,695 1,379,086 689,543 2,068,630 1,034,315 3,102,946 1,551,473 4,654,420 2,327,210 1,163,605 3,490,816 1,745,408 872,704 436,352 218,176 109,088 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289

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