7,626,945

3 × 5 × 67 × 7589

Starting at 7,626,945, the Collatz iteration reaches 1 after 155 steps. The first transition is 22880836; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 67 × 7589

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,386,880

Proper Divisor Sum 4,759,935

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7626929 ← → #7626947

Radix Representation

Decimal	7626945
Binary	11101000110000011000001 (23 bits)
Octal	0o35060301
Hexadecimal	0x7460C1

Divisor Catalog (16)

1 3 5 15 67 201 335 1,005 7,589 22,767 37,945 113,835 508,463 1,525,389 2,542,315 7,626,945

Collatz Trajectory (155 steps to reach 1)

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

7,626,945 22,880,836 11,440,418 5,720,209 17,160,628 8,580,314 4,290,157 12,870,472 6,435,236 3,217,618 1,608,809 4,826,428 2,413,214 1,206,607 3,619,822 1,809,911 5,429,734 2,714,867 8,144,602 4,072,301 12,216,904 6,108,452 3,054,226 1,527,113 4,581,340 2,290,670 1,145,335 3,436,006 1,718,003 5,154,010 2,577,005 7,731,016 3,865,508 1,932,754 966,377 2,899,132 1,449,566 724,783 2,174,350 1,087,175 3,261,526 1,630,763 4,892,290 2,446,145 7,338,436 3,669,218 1,834,609 5,503,828 2,751,914 1,375,957 4,127,872 2,063,936 1,031,968 515,984 257,992 128,996 64,498 32,249 96,748 48,374

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