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Atlas › Integer Profiles › Node 2,115,342

2,115,342

2 × 33 × 43 × 911
Abundant Even Composite

2,115,342 factors as 2 × 3^3 × 43 × 911. Its 32 positive divisors give a proper-divisor sum of 2,700,018, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 43 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,815,360
Proper Divisor Sum 2,700,018
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2115331 ← → #2115343

Radix Representation

Decimal 2115342
Binary 1000000100011100001110 (22 bits)
Octal 0o10043416
Hexadecimal 0x20470E

Divisor Catalog (32)

1 2 3 6 9 18 27 43 54 86 129 258 387 774 911 1,161 1,822 2,322 2,733 5,466 8,199 16,398 24,597 39,173 49,194 78,346 117,519 235,038 352,557 705,114 1,057,671 2,115,342

Collatz Trajectory (179 steps to reach 1)

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

2,115,342 1,057,671 3,173,014 1,586,507 4,759,522 2,379,761 7,139,284 3,569,642 1,784,821 5,354,464 2,677,232 1,338,616 669,308 334,654 167,327 501,982 250,991 752,974 376,487 1,129,462 564,731 1,694,194 847,097 2,541,292 1,270,646 635,323 1,905,970 952,985 2,858,956 1,429,478 714,739 2,144,218 1,072,109 3,216,328 1,608,164 804,082 402,041 1,206,124 603,062 301,531 904,594 452,297 1,356,892 678,446 339,223 1,017,670 508,835 1,526,506 763,253 2,289,760 1,144,880 572,440 286,220 143,110 71,555 214,666 107,333 322,000 161,000 80,500

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