7,804,937

7 × 179 × 6229

Starting at 7,804,937, the Collatz iteration reaches 1 after 178 steps. The first transition is 23414812; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 179 × 6229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,971,200

Proper Divisor Sum 1,166,263

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7804913 ← → #7804949

Radix Representation

Decimal	7804937
Binary	11101110001100000001001 (23 bits)
Octal	0o35614011
Hexadecimal	0x771809

Divisor Catalog (8)

1 7 179 1,253 6,229 43,603 1,114,991 7,804,937

Collatz Trajectory (178 steps to reach 1)

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

7,804,937 23,414,812 11,707,406 5,853,703 17,561,110 8,780,555 26,341,666 13,170,833 39,512,500 19,756,250 9,878,125 29,634,376 14,817,188 7,408,594 3,704,297 11,112,892 5,556,446 2,778,223 8,334,670 4,167,335 12,502,006 6,251,003 18,753,010 9,376,505 28,129,516 14,064,758 7,032,379 21,097,138 10,548,569 31,645,708 15,822,854 7,911,427 23,734,282 11,867,141 35,601,424 17,800,712 8,900,356 4,450,178 2,225,089 6,675,268 3,337,634 1,668,817 5,006,452 2,503,226 1,251,613 3,754,840 1,877,420 938,710 469,355 1,408,066 704,033 2,112,100 1,056,050 528,025 1,584,076 792,038 396,019 1,188,058 594,029 1,782,088

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