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Atlas › Integer Profiles › Node 1,851,824

1,851,824

24 × 13 × 29 × 307
Abundant Even Composite

1,851,824 factors as 2^4 × 13 × 29 × 307. Its 40 positive divisors give a proper-divisor sum of 2,158,336, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 29 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,010,160
Proper Divisor Sum 2,158,336
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1851821 ← → #1851841

Radix Representation

Decimal 1851824
Binary 111000100000110110000 (21 bits)
Octal 0o7040660
Hexadecimal 0x1C41B0

Divisor Catalog (40)

1 2 4 8 13 16 26 29 52 58 104 116 208 232 307 377 464 614 754 1,228 1,508 2,456 3,016 3,991 4,912 6,032 7,982 8,903 15,964 17,806 31,928 35,612 63,856 71,224 115,739 142,448 231,478 462,956 925,912 1,851,824

Collatz Trajectory (140 steps to reach 1)

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

1,851,824 925,912 462,956 231,478 115,739 347,218 173,609 520,828 260,414 130,207 390,622 195,311 585,934 292,967 878,902 439,451 1,318,354 659,177 1,977,532 988,766 494,383 1,483,150 741,575 2,224,726 1,112,363 3,337,090 1,668,545 5,005,636 2,502,818 1,251,409 3,754,228 1,877,114 938,557 2,815,672 1,407,836 703,918 351,959 1,055,878 527,939 1,583,818 791,909 2,375,728 1,187,864 593,932 296,966 148,483 445,450 222,725 668,176 334,088 167,044 83,522 41,761 125,284 62,642 31,321 93,964 46,982 23,491 70,474

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