λ
Sigma Notebook

2,252,429

31 × 113 × 643
Deficient Odd Composite

2,252,429 is odd and not a perfect square. Its factorization is 31 × 113 × 643 and its 8 divisors sum to 2,349,312.

Prime Factor Structure

Factorization String 31 × 113 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,349,312
Proper Divisor Sum 96,883
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2252407 ← → #2252441

Radix Representation

Decimal 2252429
Binary 1000100101111010001101 (22 bits)
Octal 0o10457215
Hexadecimal 0x225E8D

Divisor Catalog (8)

1 31 113 643 3,503 19,933 72,659 2,252,429

Collatz Trajectory (161 steps to reach 1)

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

2,252,429 6,757,288 3,378,644 1,689,322 844,661 2,533,984 1,266,992 633,496 316,748 158,374 79,187 237,562 118,781 356,344 178,172 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075 2,283,226 1,141,613 3,424,840 1,712,420 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474 2,057,237 6,171,712 3,085,856

More profiles

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