λ
Integer Codex

1,429,605

32 × 5 × 31769
Deficient Odd Composite

For 1,429,605, the 12 positive divisors have a total of 2,478,060. Removing 1,429,605 leaves 1,048,455, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 31769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,478,060
Proper Divisor Sum 1,048,455
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1429601 ← → #1429609

Radix Representation

Decimal 1429605
Binary 101011101000001100101 (21 bits)
Octal 0o5350145
Hexadecimal 0x15D065

Divisor Catalog (12)

1 3 5 9 15 45 31,769 95,307 158,845 285,921 476,535 1,429,605

Collatz Trajectory (150 steps to reach 1)

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

1,429,605 4,288,816 2,144,408 1,072,204 536,102 268,051 804,154 402,077 1,206,232 603,116 301,558 150,779 452,338 226,169 678,508 339,254 169,627 508,882 254,441 763,324 381,662 190,831 572,494 286,247 858,742 429,371 1,288,114 644,057 1,932,172 966,086 483,043 1,449,130 724,565 2,173,696 1,086,848 543,424 271,712 135,856 67,928 33,964 16,982 8,491 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071

More profiles

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