λ
Sigma Notebook

624,962

2 × 132 × 432
Deficient Even Composite

624,962 is even and not a perfect square. Its factorization is 2 × 13^2 × 43^2 and its 18 divisors sum to 1,039,257.

Prime Factor Structure

Factorization String 2 × 13^2 × 43^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,039,257
Proper Divisor Sum 414,295
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #624961 ← → #624973

Radix Representation

Decimal 624962
Binary 10011000100101000010 (20 bits)
Octal 0o2304502
Hexadecimal 0x98942

Divisor Catalog (18)

1 2 13 26 43 86 169 338 559 1,118 1,849 3,698 7,267 14,534 24,037 48,074 312,481 624,962

Collatz Trajectory (185 steps to reach 1)

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

624,962 312,481 937,444 468,722 234,361 703,084 351,542 175,771 527,314 263,657 790,972 395,486 197,743 593,230 296,615 889,846 444,923 1,334,770 667,385 2,002,156 1,001,078 500,539 1,501,618 750,809 2,252,428 1,126,214 563,107 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

More profiles

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