4,827,091

107 × 197 × 229

Starting at 4,827,091, the Collatz iteration reaches 1 after 237 steps. The first transition is 14481274; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 107 × 197 × 229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,918,320

Proper Divisor Sum 91,229

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4827073 ← → #4827107

Radix Representation

Decimal	4827091
Binary	10010011010011111010011 (23 bits)
Octal	0o22323723
Hexadecimal	0x49A7D3

Divisor Catalog (8)

1 107 197 229 21,079 24,503 45,113 4,827,091

Collatz Trajectory (237 steps to reach 1)

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

4,827,091 14,481,274 7,240,637 21,721,912 10,860,956 5,430,478 2,715,239 8,145,718 4,072,859 12,218,578 6,109,289 18,327,868 9,163,934 4,581,967 13,745,902 6,872,951 20,618,854 10,309,427 30,928,282 15,464,141 46,392,424 23,196,212 11,598,106 5,799,053 17,397,160 8,698,580 4,349,290 2,174,645 6,523,936 3,261,968 1,630,984 815,492 407,746 203,873 611,620 305,810 152,905 458,716 229,358 114,679 344,038 172,019 516,058 258,029 774,088 387,044 193,522 96,761 290,284 145,142 72,571 217,714 108,857 326,572 163,286 81,643 244,930 122,465 367,396 183,698

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