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Atlas › Integer Profiles › Node 84,635,804

84,635,804

22 × 11 × 19 × 29 × 3491
Abundant Even Composite

84,635,804 factors as 2^2 × 11 × 19 × 29 × 3491. Its 48 positive divisors give a proper-divisor sum of 91,360,996, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 29 × 3491
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 175,996,800
Proper Divisor Sum 91,360,996
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #84635783 ← → #84635813

Radix Representation

Decimal 84635804
Binary 101000010110111000010011100 (27 bits)
Octal 0o502670234
Hexadecimal 0x50B709C

Divisor Catalog (48)

1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1,102 1,276 2,204 3,491 6,061 6,982 12,122 13,964 24,244 38,401 66,329 76,802 101,239 132,658 153,604 202,478 265,316 404,956 729,619 1,113,629 1,459,238 1,923,541 2,227,258 2,918,476 3,847,082 4,454,516 7,694,164 21,158,951 42,317,902 84,635,804

Collatz Trajectory (179 steps to reach 1)

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

84,635,804 42,317,902 21,158,951 63,476,854 31,738,427 95,215,282 47,607,641 142,822,924 71,411,462 35,705,731 107,117,194 53,558,597 160,675,792 80,337,896 40,168,948 20,084,474 10,042,237 30,126,712 15,063,356 7,531,678 3,765,839 11,297,518 5,648,759 16,946,278 8,473,139 25,419,418 12,709,709 38,129,128 19,064,564 9,532,282 4,766,141 14,298,424 7,149,212 3,574,606 1,787,303 5,361,910 2,680,955 8,042,866 4,021,433 12,064,300 6,032,150 3,016,075 9,048,226 4,524,113 13,572,340 6,786,170 3,393,085 10,179,256 5,089,628 2,544,814 1,272,407 3,817,222 1,908,611 5,725,834 2,862,917 8,588,752 4,294,376 2,147,188 1,073,594 536,797

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