λ
Prime Ledger

1,538,090

2 × 5 × 37 × 4157
Deficient Even Composite

1,538,090 has the prime decomposition 2 × 5 × 37 × 4157. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 4157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,844,072
Proper Divisor Sum 1,305,982
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1538087 ← → #1538093

Radix Representation

Decimal 1538090
Binary 101110111100000101010 (21 bits)
Octal 0o5674052
Hexadecimal 0x17782A

Divisor Catalog (16)

1 2 5 10 37 74 185 370 4,157 8,314 20,785 41,570 153,809 307,618 769,045 1,538,090

Collatz Trajectory (75 steps to reach 1)

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

1,538,090 769,045 2,307,136 1,153,568 576,784 288,392 144,196 72,098 36,049 108,148 54,074 27,037 81,112 40,556 20,278 10,139 30,418 15,209 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272

More profiles

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