667,157

61 × 10937

Starting at 667,157, the Collatz iteration reaches 1 after 141 steps. The first transition is 2001472; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 61 × 10937

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 678,156

Proper Divisor Sum 10,999

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #667141 ← → #667171

Radix Representation

Decimal	667157
Binary	10100010111000010101 (20 bits)
Octal	0o2427025
Hexadecimal	0xA2E15

Divisor Catalog (4)

1 61 10,937 667,157

Collatz Trajectory (141 steps to reach 1)

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

667,157 2,001,472 1,000,736 500,368 250,184 125,092 62,546 31,273 93,820 46,910 23,455 70,366 35,183 105,550 52,775 158,326 79,163 237,490 118,745 356,236 178,118 89,059 267,178 133,589 400,768 200,384 100,192 50,096 25,048 12,524 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

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