4,377,157

47 × 93131

Starting at 4,377,157, the Collatz iteration reaches 1 after 180 steps. The first transition is 13131472; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 47 × 93131

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,470,336

Proper Divisor Sum 93,179

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4377101 ← → #4377167

Radix Representation

Decimal	4377157
Binary	10000101100101001000101 (23 bits)
Octal	0o20545105
Hexadecimal	0x42CA45

Divisor Catalog (4)

1 47 93,131 4,377,157

Collatz Trajectory (180 steps to reach 1)

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

4,377,157 13,131,472 6,565,736 3,282,868 1,641,434 820,717 2,462,152 1,231,076 615,538 307,769 923,308 461,654 230,827 692,482 346,241 1,038,724 519,362 259,681 779,044 389,522 194,761 584,284 292,142 146,071 438,214 219,107 657,322 328,661 985,984 492,992 246,496 123,248 61,624 30,812 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773

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