7,677,833

37 × 207509

Starting at 7,677,833, the Collatz iteration reaches 1 after 111 steps. The first transition is 23033500; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 207509

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,885,380

Proper Divisor Sum 207,547

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7677823 ← → #7677877

Radix Representation

Decimal	7677833
Binary	11101010010011110001001 (23 bits)
Octal	0o35223611
Hexadecimal	0x752789

Divisor Catalog (4)

1 37 207,509 7,677,833

Collatz Trajectory (111 steps to reach 1)

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

7,677,833 23,033,500 11,516,750 5,758,375 17,275,126 8,637,563 25,912,690 12,956,345 38,869,036 19,434,518 9,717,259 29,151,778 14,575,889 43,727,668 21,863,834 10,931,917 32,795,752 16,397,876 8,198,938 4,099,469 12,298,408 6,149,204 3,074,602 1,537,301 4,611,904 2,305,952 1,152,976 576,488 288,244 144,122 72,061 216,184 108,092 54,046 27,023 81,070 40,535 121,606 60,803 182,410 91,205 273,616 136,808 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354

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