λ
Prime Ledger

1,607,692

22 × 41 × 9803
Deficient Even Composite

1,607,692 has the prime decomposition 2^2 × 41 × 9803. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 9803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,882,376
Proper Divisor Sum 1,274,684
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1607681 ← → #1607699

Radix Representation

Decimal 1607692
Binary 110001000100000001100 (21 bits)
Octal 0o6104014
Hexadecimal 0x18880C

Divisor Catalog (12)

1 2 4 41 82 164 9,803 19,606 39,212 401,923 803,846 1,607,692

Collatz Trajectory (70 steps to reach 1)

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

1,607,692 803,846 401,923 1,205,770 602,885 1,808,656 904,328 452,164 226,082 113,041 339,124 169,562 84,781 254,344 127,172 63,586 31,793 95,380 47,690 23,845 71,536 35,768 17,884 8,942 4,471 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52

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