λ
Integer Codex

1,416,829

1416829
Deficient Odd Prime

For 1,416,829, the 2 positive divisors have a total of 1,416,830. Removing 1,416,829 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1416829
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,416,830
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1416809 ← → #1416851

Radix Representation

Decimal 1416829
Binary 101011001111001111101 (21 bits)
Octal 0o5317175
Hexadecimal 0x159E7D

Divisor Catalog (2)

Collatz Trajectory (106 steps to reach 1)

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

1,416,829 4,250,488 2,125,244 1,062,622 531,311 1,593,934 796,967 2,390,902 1,195,451 3,586,354 1,793,177 5,379,532 2,689,766 1,344,883 4,034,650 2,017,325 6,051,976 3,025,988 1,512,994 756,497 2,269,492 1,134,746 567,373 1,702,120 851,060 425,530 212,765 638,296 319,148 159,574 79,787 239,362 119,681 359,044 179,522 89,761 269,284 134,642 67,321 201,964 100,982 50,491 151,474 75,737 227,212 113,606 56,803 170,410 85,205 255,616 127,808 63,904 31,952 15,976 7,988 3,994 1,997 5,992 2,996 1,498

More profiles

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