λ
Integer Codex

1,665,020

22 × 5 × 72 × 1699
Abundant Even Composite

For 1,665,020, the 36 positive divisors have a total of 4,069,800. Removing 1,665,020 leaves 2,404,780, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 1699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,069,800
Proper Divisor Sum 2,404,780
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1665007 ← → #1665023

Radix Representation

Decimal 1665020
Binary 110010110011111111100 (21 bits)
Octal 0o6263774
Hexadecimal 0x1967FC

Divisor Catalog (36)

1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1,699 3,398 6,796 8,495 11,893 16,990 23,786 33,980 47,572 59,465 83,251 118,930 166,502 237,860 333,004 416,255 832,510 1,665,020

Collatz Trajectory (145 steps to reach 1)

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

1,665,020 832,510 416,255 1,248,766 624,383 1,873,150 936,575 2,809,726 1,404,863 4,214,590 2,107,295 6,321,886 3,160,943 9,482,830 4,741,415 14,224,246 7,112,123 21,336,370 10,668,185 32,004,556 16,002,278 8,001,139 24,003,418 12,001,709 36,005,128 18,002,564 9,001,282 4,500,641 13,501,924 6,750,962 3,375,481 10,126,444 5,063,222 2,531,611 7,594,834 3,797,417 11,392,252 5,696,126 2,848,063 8,544,190 4,272,095 12,816,286 6,408,143 19,224,430 9,612,215 28,836,646 14,418,323 43,254,970 21,627,485 64,882,456 32,441,228 16,220,614 8,110,307 24,330,922 12,165,461 36,496,384 18,248,192 9,124,096 4,562,048 2,281,024

More profiles

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