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Atlas › Integer Profiles › Node 84,530,384

84,530,384

24 × 61 × 257 × 337
Deficient Even Composite

84,530,384 factors as 2^4 × 61 × 257 × 337. Its 40 positive divisors give a proper-divisor sum of 83,075,704, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 61 × 257 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 167,606,088
Proper Divisor Sum 83,075,704
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #84530351 ← → #84530387

Radix Representation

Decimal 84530384
Binary 101000010011101010011010000 (27 bits)
Octal 0o502352320
Hexadecimal 0x509D4D0

Divisor Catalog (40)

1 2 4 8 16 61 122 244 257 337 488 514 674 976 1,028 1,348 2,056 2,696 4,112 5,392 15,677 20,557 31,354 41,114 62,708 82,228 86,609 125,416 164,456 173,218 250,832 328,912 346,436 692,872 1,385,744 5,283,149 10,566,298 21,132,596 42,265,192 84,530,384

Collatz Trajectory (104 steps to reach 1)

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

84,530,384 42,265,192 21,132,596 10,566,298 5,283,149 15,849,448 7,924,724 3,962,362 1,981,181 5,943,544 2,971,772 1,485,886 742,943 2,228,830 1,114,415 3,343,246 1,671,623 5,014,870 2,507,435 7,522,306 3,761,153 11,283,460 5,641,730 2,820,865 8,462,596 4,231,298 2,115,649 6,346,948 3,173,474 1,586,737 4,760,212 2,380,106 1,190,053 3,570,160 1,785,080 892,540 446,270 223,135 669,406 334,703 1,004,110 502,055 1,506,166 753,083 2,259,250 1,129,625 3,388,876 1,694,438 847,219 2,541,658 1,270,829 3,812,488 1,906,244 953,122 476,561 1,429,684 714,842 357,421 1,072,264 536,132

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