7,673,624

2³ × 7 × 137029

Starting at 7,673,624, the Collatz iteration reaches 1 after 173 steps. The first transition is 3836812; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 137029

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,443,600

Proper Divisor Sum 8,769,976

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7673621 ← → #7673657

Radix Representation

Decimal	7673624
Binary	11101010001011100011000 (23 bits)
Octal	0o35213430
Hexadecimal	0x751718

Divisor Catalog (16)

1 2 4 7 8 14 28 56 137,029 274,058 548,116 959,203 1,096,232 1,918,406 3,836,812 7,673,624

Collatz Trajectory (173 steps to reach 1)

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

7,673,624 3,836,812 1,918,406 959,203 2,877,610 1,438,805 4,316,416 2,158,208 1,079,104 539,552 269,776 134,888 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134

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