7,683,473

7 × 17 × 64567

Starting at 7,683,473, the Collatz iteration reaches 1 after 124 steps. The first transition is 23050420; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 64567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,297,792

Proper Divisor Sum 1,614,319

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7683421 ← → #7683479

Radix Representation

Decimal	7683473
Binary	11101010011110110010001 (23 bits)
Octal	0o35236621
Hexadecimal	0x753D91

Divisor Catalog (8)

1 7 17 119 64,567 451,969 1,097,639 7,683,473

Collatz Trajectory (124 steps to reach 1)

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

7,683,473 23,050,420 11,525,210 5,762,605 17,287,816 8,643,908 4,321,954 2,160,977 6,482,932 3,241,466 1,620,733 4,862,200 2,431,100 1,215,550 607,775 1,823,326 911,663 2,734,990 1,367,495 4,102,486 2,051,243 6,153,730 3,076,865 9,230,596 4,615,298 2,307,649 6,922,948 3,461,474 1,730,737 5,192,212 2,596,106 1,298,053 3,894,160 1,947,080 973,540 486,770 243,385 730,156 365,078 182,539 547,618 273,809 821,428 410,714 205,357 616,072 308,036 154,018 77,009 231,028 115,514 57,757 173,272 86,636 43,318 21,659 64,978 32,489 97,468 48,734

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