λ
Prime Ledger

1,503,107

47 × 31981
Deficient Odd Composite

1,503,107 has the prime decomposition 47 × 31981. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 47 × 31981
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,535,136
Proper Divisor Sum 32,029
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1503091 ← → #1503113

Radix Representation

Decimal 1503107
Binary 101101110111110000011 (21 bits)
Octal 0o5567603
Hexadecimal 0x16EF83

Divisor Catalog (4)

1 47 31,981 1,503,107

Collatz Trajectory (88 steps to reach 1)

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

1,503,107 4,509,322 2,254,661 6,763,984 3,381,992 1,690,996 845,498 422,749 1,268,248 634,124 317,062 158,531 475,594 237,797 713,392 356,696 178,348 89,174 44,587 133,762 66,881 200,644 100,322 50,161 150,484 75,242 37,621 112,864 56,432 28,216 14,108 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268

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