λ
Sigma Notebook

1,640,022

2 × 3 × 157 × 1741
Abundant Even Composite

1,640,022 is even and not a perfect square. Its factorization is 2 × 3 × 157 × 1741 and its 16 divisors sum to 3,302,832.

Prime Factor Structure

Factorization String 2 × 3 × 157 × 1741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,302,832
Proper Divisor Sum 1,662,810
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1640021 ← → #1640033

Radix Representation

Decimal 1640022
Binary 110010000011001010110 (21 bits)
Octal 0o6203126
Hexadecimal 0x190656

Divisor Catalog (16)

1 2 3 6 157 314 471 942 1,741 3,482 5,223 10,446 273,337 546,674 820,011 1,640,022

Collatz Trajectory (88 steps to reach 1)

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

1,640,022 820,011 2,460,034 1,230,017 3,690,052 1,845,026 922,513 2,767,540 1,383,770 691,885 2,075,656 1,037,828 518,914 259,457 778,372 389,186 194,593 583,780 291,890 145,945 437,836 218,918 109,459 328,378 164,189 492,568 246,284 123,142 61,571 184,714 92,357 277,072 138,536 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408

More profiles

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