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Atlas › Integer Profiles › Node 11,622,258

11,622,258

2 × 33 × 137 × 1571
Abundant Even Composite

11,622,258 factors as 2 × 3^3 × 137 × 1571. Its 32 positive divisors give a proper-divisor sum of 14,410,062, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 137 × 1571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,032,320
Proper Divisor Sum 14,410,062
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11622251 ← → #11622263

Radix Representation

Decimal 11622258
Binary 101100010101011101110010 (24 bits)
Octal 0o54253562
Hexadecimal 0xB15772

Divisor Catalog (32)

1 2 3 6 9 18 27 54 137 274 411 822 1,233 1,571 2,466 3,142 3,699 4,713 7,398 9,426 14,139 28,278 42,417 84,834 215,227 430,454 645,681 1,291,362 1,937,043 3,874,086 5,811,129 11,622,258

Collatz Trajectory (171 steps to reach 1)

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

11,622,258 5,811,129 17,433,388 8,716,694 4,358,347 13,075,042 6,537,521 19,612,564 9,806,282 4,903,141 14,709,424 7,354,712 3,677,356 1,838,678 919,339 2,758,018 1,379,009 4,137,028 2,068,514 1,034,257 3,102,772 1,551,386 775,693 2,327,080 1,163,540 581,770 290,885 872,656 436,328 218,164 109,082 54,541 163,624 81,812 40,906 20,453 61,360 30,680 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292

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