λ
Integer Codex

1,645,356

22 × 3 × 31 × 4423
Abundant Even Composite

For 1,645,356, the 24 positive divisors have a total of 3,963,904. Removing 1,645,356 leaves 2,318,548, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 4423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,963,904
Proper Divisor Sum 2,318,548
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1645349 ← → #1645363

Radix Representation

Decimal 1645356
Binary 110010001101100101100 (21 bits)
Octal 0o6215454
Hexadecimal 0x191B2C

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 4,423 8,846 13,269 17,692 26,538 53,076 137,113 274,226 411,339 548,452 822,678 1,645,356

Collatz Trajectory (207 steps to reach 1)

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

1,645,356 822,678 411,339 1,234,018 617,009 1,851,028 925,514 462,757 1,388,272 694,136 347,068 173,534 86,767 260,302 130,151 390,454 195,227 585,682 292,841 878,524 439,262 219,631 658,894 329,447 988,342 494,171 1,482,514 741,257 2,223,772 1,111,886 555,943 1,667,830 833,915 2,501,746 1,250,873 3,752,620 1,876,310 938,155 2,814,466 1,407,233 4,221,700 2,110,850 1,055,425 3,166,276 1,583,138 791,569 2,374,708 1,187,354 593,677 1,781,032 890,516 445,258 222,629 667,888 333,944 166,972 83,486 41,743 125,230 62,615

More profiles

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