λ
Sigma Notebook

1,996,032

28 × 3 × 23 × 113
Abundant Even Composite

1,996,032 is even and not a perfect square. Its factorization is 2^8 × 3 × 23 × 113 and its 72 divisors sum to 5,592,384.

Prime Factor Structure

Factorization String 2^8 × 3 × 23 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 5,592,384
Proper Divisor Sum 3,596,352
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1996019 ← → #1996061

Radix Representation

Decimal 1996032
Binary 111100111010100000000 (21 bits)
Octal 0o7472400
Hexadecimal 0x1E7500

Divisor Catalog (60 of 72)

1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 113 128 138 184 192 226 256 276 339 368 384 452 552 678 736 768 904 1,104 1,356 1,472 1,808 2,208 2,599 2,712 2,944 3,616 4,416 5,198 5,424 5,888 7,232 7,797 8,832 10,396 10,848 14,464 15,594 17,664 20,792 21,696 28,928 31,188 41,584

Collatz Trajectory (153 steps to reach 1)

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

1,996,032 998,016 499,008 249,504 124,752 62,376 31,188 15,594 7,797 23,392 11,696 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

More profiles

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