6,456,471

3 × 7 × 307451

Starting at 6,456,471, the Collatz iteration reaches 1 after 77 steps. The first transition is 19369414; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 307451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,838,464

Proper Divisor Sum 3,381,993

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6456469 ← → #6456479

Radix Representation

Decimal	6456471
Binary	11000101000010010010111 (23 bits)
Octal	0o30502227
Hexadecimal	0x628497

Divisor Catalog (8)

1 3 7 21 307,451 922,353 2,152,157 6,456,471

Collatz Trajectory (77 steps to reach 1)

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

6,456,471 19,369,414 9,684,707 29,054,122 14,527,061 43,581,184 21,790,592 10,895,296 5,447,648 2,723,824 1,361,912 680,956 340,478 170,239 510,718 255,359 766,078 383,039 1,149,118 574,559 1,723,678 861,839 2,585,518 1,292,759 3,878,278 1,939,139 5,817,418 2,908,709 8,726,128 4,363,064 2,181,532 1,090,766 545,383 1,636,150 818,075 2,454,226 1,227,113 3,681,340 1,840,670 920,335 2,761,006 1,380,503 4,141,510 2,070,755 6,212,266 3,106,133 9,318,400 4,659,200 2,329,600 1,164,800 582,400 291,200 145,600 72,800 36,400 18,200 9,100 4,550 2,275 6,826

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