λ
Integer Codex

1,501,668

22 × 32 × 7 × 59 × 101
Abundant Even Composite

For 1,501,668, the 72 positive divisors have a total of 4,455,360. Removing 1,501,668 leaves 2,953,692, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 59 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 4,455,360
Proper Divisor Sum 2,953,692
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1501667 ← → #1501673

Radix Representation

Decimal 1501668
Binary 101101110100111100100 (21 bits)
Octal 0o5564744
Hexadecimal 0x16E9E4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 101 118 126 177 202 236 252 303 354 404 413 531 606 707 708 826 909 1,062 1,212 1,239 1,414 1,652 1,818 2,121 2,124 2,478 2,828 3,636 3,717 4,242 4,956 5,959 6,363 7,434 8,484 11,918 12,726 14,868 17,877 23,836 25,452 35,754 41,713

Collatz Trajectory (88 steps to reach 1)

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

1,501,668 750,834 375,417 1,126,252 563,126 281,563 844,690 422,345 1,267,036 633,518 316,759 950,278 475,139 1,425,418 712,709 2,138,128 1,069,064 534,532 267,266 133,633 400,900 200,450 100,225 300,676 150,338 75,169 225,508 112,754 56,377 169,132 84,566 42,283 126,850 63,425 190,276 95,138 47,569 142,708 71,354 35,677 107,032 53,516 26,758 13,379 40,138 20,069 60,208 30,104 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588

More profiles

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