6,835,688

2³ × 854461

Starting at 6,835,688, the Collatz iteration reaches 1 after 178 steps. The first transition is 3417844; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 854461

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,816,930

Proper Divisor Sum 5,981,242

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6835663 ← → #6835691

Radix Representation

Decimal	6835688
Binary	11010000100110111101000 (23 bits)
Octal	0o32046750
Hexadecimal	0x684DE8

Divisor Catalog (8)

1 2 4 8 854,461 1,708,922 3,417,844 6,835,688

Collatz Trajectory (178 steps to reach 1)

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

6,835,688 3,417,844 1,708,922 854,461 2,563,384 1,281,692 640,846 320,423 961,270 480,635 1,441,906 720,953 2,162,860 1,081,430 540,715 1,622,146 811,073 2,433,220 1,216,610 608,305 1,824,916 912,458 456,229 1,368,688 684,344 342,172 171,086 85,543 256,630 128,315 384,946 192,473 577,420 288,710 144,355 433,066 216,533 649,600 324,800 162,400 81,200 40,600 20,300 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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