4,480,974

2 × 3³ × 82981

4,480,974 factors as 2 × 3^3 × 82981. Its 16 positive divisors give a proper-divisor sum of 5,476,866, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 82981

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,957,840

Proper Divisor Sum 5,476,866

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4480967 ← → #4480981

Radix Representation

Decimal	4480974
Binary	10001000101111111001110 (23 bits)
Octal	0o21057716
Hexadecimal	0x445FCE

Divisor Catalog (16)

1 2 3 6 9 18 27 54 82,981 165,962 248,943 497,886 746,829 1,493,658 2,240,487 4,480,974

Collatz Trajectory (118 steps to reach 1)

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

4,480,974 2,240,487 6,721,462 3,360,731 10,082,194 5,041,097 15,123,292 7,561,646 3,780,823 11,342,470 5,671,235 17,013,706 8,506,853 25,520,560 12,760,280 6,380,140 3,190,070 1,595,035 4,785,106 2,392,553 7,177,660 3,588,830 1,794,415 5,383,246 2,691,623 8,074,870 4,037,435 12,112,306 6,056,153 18,168,460 9,084,230 4,542,115 13,626,346 6,813,173 20,439,520 10,219,760 5,109,880 2,554,940 1,277,470 638,735 1,916,206 958,103 2,874,310 1,437,155 4,311,466 2,155,733 6,467,200 3,233,600 1,616,800 808,400 404,200 202,100 101,050 50,525 151,576 75,788 37,894 18,947 56,842 28,421

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