7,355,874

2 × 3 × 617 × 1987

Starting at 7,355,874, the Collatz iteration reaches 1 after 160 steps. The first transition is 3677937; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 617 × 1987

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,743,008

Proper Divisor Sum 7,387,134

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7355867 ← → #7355893

Radix Representation

Decimal	7355874
Binary	11100000011110111100010 (23 bits)
Octal	0o34036742
Hexadecimal	0x703DE2

Divisor Catalog (16)

1 2 3 6 617 1,234 1,851 1,987 3,702 3,974 5,961 11,922 1,225,979 2,451,958 3,677,937 7,355,874

Collatz Trajectory (160 steps to reach 1)

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

7,355,874 3,677,937 11,033,812 5,516,906 2,758,453 8,275,360 4,137,680 2,068,840 1,034,420 517,210 258,605 775,816 387,908 193,954 96,977 290,932 145,466 72,733 218,200 109,100 54,550 27,275 81,826 40,913 122,740 61,370 30,685 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297

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