84,420,124

2² × 401 × 52631

84,420,124 factors as 2^2 × 401 × 52631. Its 12 positive divisors give a proper-divisor sum of 63,686,324, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 401 × 52631

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 148,106,448

Proper Divisor Sum 63,686,324

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #84420109 ← → #84420187

Radix Representation

Decimal	84420124
Binary	101000010000010011000011100 (27 bits)
Octal	0o502023034
Hexadecimal	0x508261C

Divisor Catalog (12)

1 2 4 401 802 1,604 52,631 105,262 210,524 21,105,031 42,210,062 84,420,124

Collatz Trajectory (104 steps to reach 1)

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

84,420,124 42,210,062 21,105,031 63,315,094 31,657,547 94,972,642 47,486,321 142,458,964 71,229,482 35,614,741 106,844,224 53,422,112 26,711,056 13,355,528 6,677,764 3,338,882 1,669,441 5,008,324 2,504,162 1,252,081 3,756,244 1,878,122 939,061 2,817,184 1,408,592 704,296 352,148 176,074 88,037 264,112 132,056 66,028 33,014 16,507 49,522 24,761 74,284 37,142 18,571 55,714 27,857 83,572 41,786 20,893 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #84,420,123 Browse Full Index Next Integer #84,420,125 →