λ
Integer Codex

2,132,623

277 × 7699
Deficient Odd Composite

For 2,132,623, the 4 positive divisors have a total of 2,140,600. Removing 2,132,623 leaves 7,977, which gives the deficient classification.

Prime Factor Structure

Factorization String 277 × 7699
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,140,600
Proper Divisor Sum 7,977
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2132593 ← → #2132639

Radix Representation

Decimal 2132623
Binary 1000001000101010001111 (22 bits)
Octal 0o10105217
Hexadecimal 0x208A8F

Divisor Catalog (4)

1 277 7,699 2,132,623

Collatz Trajectory (179 steps to reach 1)

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

2,132,623 6,397,870 3,198,935 9,596,806 4,798,403 14,395,210 7,197,605 21,592,816 10,796,408 5,398,204 2,699,102 1,349,551 4,048,654 2,024,327 6,072,982 3,036,491 9,109,474 4,554,737 13,664,212 6,832,106 3,416,053 10,248,160 5,124,080 2,562,040 1,281,020 640,510 320,255 960,766 480,383 1,441,150 720,575 2,161,726 1,080,863 3,242,590 1,621,295 4,863,886 2,431,943 7,295,830 3,647,915 10,943,746 5,471,873 16,415,620 8,207,810 4,103,905 12,311,716 6,155,858 3,077,929 9,233,788 4,616,894 2,308,447 6,925,342 3,462,671 10,388,014 5,194,007 15,582,022 7,791,011 23,373,034 11,686,517 35,059,552 17,529,776

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