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Atlas › Integer Profiles › Node 2,182,014

2,182,014

2 × 32 × 241 × 503
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 241 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,756,752
Proper Divisor Sum 2,574,738
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2182009 ← → #2182021

Radix Representation

Decimal 2182014
Binary 1000010100101101111110 (22 bits)
Octal 0o10245576
Hexadecimal 0x214B7E

Divisor Catalog (24)

1 2 3 6 9 18 241 482 503 723 1,006 1,446 1,509 2,169 3,018 4,338 4,527 9,054 121,223 242,446 363,669 727,338 1,091,007 2,182,014

Collatz Trajectory (272 steps to reach 1)

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

2,182,014 1,091,007 3,273,022 1,636,511 4,909,534 2,454,767 7,364,302 3,682,151 11,046,454 5,523,227 16,569,682 8,284,841 24,854,524 12,427,262 6,213,631 18,640,894 9,320,447 27,961,342 13,980,671 41,942,014 20,971,007 62,913,022 31,456,511 94,369,534 47,184,767 141,554,302 70,777,151 212,331,454 106,165,727 318,497,182 159,248,591 477,745,774 238,872,887 716,618,662 358,309,331 1,074,927,994 537,463,997 1,612,391,992 806,195,996 403,097,998 201,548,999 604,646,998 302,323,499 906,970,498 453,485,249 1,360,455,748 680,227,874 340,113,937 1,020,341,812 510,170,906 255,085,453 765,256,360 382,628,180 191,314,090 95,657,045 286,971,136 143,485,568 71,742,784 35,871,392 17,935,696

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