λ
Integer Codex

1,643,604

22 × 3 × 29 × 4723
Abundant Even Composite

For 1,643,604, the 24 positive divisors have a total of 3,968,160. Removing 1,643,604 leaves 2,324,556, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 4723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,968,160
Proper Divisor Sum 2,324,556
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1643599 ← → #1643617

Radix Representation

Decimal 1643604
Binary 110010001010001010100 (21 bits)
Octal 0o6212124
Hexadecimal 0x191454

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 4,723 9,446 14,169 18,892 28,338 56,676 136,967 273,934 410,901 547,868 821,802 1,643,604

Collatz Trajectory (83 steps to reach 1)

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

1,643,604 821,802 410,901 1,232,704 616,352 308,176 154,088 77,044 38,522 19,261 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49

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