λ
Modular Archive

1,826,329

1826329
Deficient Odd Prime

The decimal integer 1,826,329 is 110111101111000011001 in binary (21 bits), 6757031 in octal and 1BDE19 in hexadecimal. Its digit sum is 31.

Prime Factor Structure

Factorization String 1826329
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,826,330
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1826323 ← → #1826371

Radix Representation

Decimal 1826329
Binary 110111101111000011001 (21 bits)
Octal 0o6757031
Hexadecimal 0x1BDE19

Divisor Catalog (2)

Collatz Trajectory (114 steps to reach 1)

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

1,826,329 5,478,988 2,739,494 1,369,747 4,109,242 2,054,621 6,163,864 3,081,932 1,540,966 770,483 2,311,450 1,155,725 3,467,176 1,733,588 866,794 433,397 1,300,192 650,096 325,048 162,524 81,262 40,631 121,894 60,947 182,842 91,421 274,264 137,132 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012 69,506

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