λ
Prime Ledger

1,405,936

24 × 7 × 12553
Abundant Even Composite

1,405,936 has the prime decomposition 2^4 × 7 × 12553. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 12553
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,113,392
Proper Divisor Sum 1,707,456
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1405927 ← → #1405939

Radix Representation

Decimal 1405936
Binary 101010111001111110000 (21 bits)
Octal 0o5271760
Hexadecimal 0x1573F0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 12,553 25,106 50,212 87,871 100,424 175,742 200,848 351,484 702,968 1,405,936

Collatz Trajectory (62 steps to reach 1)

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

1,405,936 702,968 351,484 175,742 87,871 263,614 131,807 395,422 197,711 593,134 296,567 889,702 444,851 1,334,554 667,277 2,001,832 1,000,916 500,458 250,229 750,688 375,344 187,672 93,836 46,918 23,459 70,378 35,189 105,568 52,784 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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