λ
Integer Codex

1,612,180

22 × 5 × 149 × 541
Abundant Even Composite

For 1,612,180, the 24 positive divisors have a total of 3,414,600. Removing 1,612,180 leaves 1,802,420, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 149 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,414,600
Proper Divisor Sum 1,802,420
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1612157 ← → #1612181

Radix Representation

Decimal 1612180
Binary 110001001100110010100 (21 bits)
Octal 0o6114624
Hexadecimal 0x189994

Divisor Catalog (24)

1 2 4 5 10 20 149 298 541 596 745 1,082 1,490 2,164 2,705 2,980 5,410 10,820 80,609 161,218 322,436 403,045 806,090 1,612,180

Collatz Trajectory (70 steps to reach 1)

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

1,612,180 806,090 403,045 1,209,136 604,568 302,284 151,142 75,571 226,714 113,357 340,072 170,036 85,018 42,509 127,528 63,764 31,882 15,941 47,824 23,912 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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