7,673,370

2 × 3 × 5 × 137 × 1867

Starting at 7,673,370, the Collatz iteration reaches 1 after 80 steps. The first transition is 3836685; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 137 × 1867

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,560,448

Proper Divisor Sum 10,887,078

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7673357 ← → #7673383

Radix Representation

Decimal	7673370
Binary	11101010001011000011010 (23 bits)
Octal	0o35213032
Hexadecimal	0x75161A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 137 274 411 685 822 1,370 1,867 2,055 3,734 4,110 5,601 9,335 11,202 18,670 28,005 56,010 255,779 511,558 767,337 1,278,895 1,534,674 2,557,790 3,836,685 7,673,370

Collatz Trajectory (80 steps to reach 1)

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

7,673,370 3,836,685 11,510,056 5,755,028 2,877,514 1,438,757 4,316,272 2,158,136 1,079,068 539,534 269,767 809,302 404,651 1,213,954 606,977 1,820,932 910,466 455,233 1,365,700 682,850 341,425 1,024,276 512,138 256,069 768,208 384,104 192,052 96,026 48,013 144,040 72,020 36,010 18,005 54,016 27,008 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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