8,480,780

2² × 5 × 7 × 11 × 5507

8,480,780 is even and not a perfect square. Its factorization is 2^2 × 5 × 7 × 11 × 5507 and its 48 divisors sum to 22,208,256.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 5507

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,208,256

Proper Divisor Sum 13,727,476

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8480777 ← → #8480803

Radix Representation

Decimal	8480780
Binary	100000010110100000001100 (24 bits)
Octal	0o40264014
Hexadecimal	0x81680C

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 5,507 11,014 22,028 27,535 38,549 55,070 60,577 77,098 110,140 121,154 154,196 192,745 242,308 302,885 385,490 424,039 605,770 770,980 848,078 1,211,540 1,696,156 2,120,195 4,240,390 8,480,780

Collatz Trajectory (106 steps to reach 1)

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

8,480,780 4,240,390 2,120,195 6,360,586 3,180,293 9,540,880 4,770,440 2,385,220 1,192,610 596,305 1,788,916 894,458 447,229 1,341,688 670,844 335,422 167,711 503,134 251,567 754,702 377,351 1,132,054 566,027 1,698,082 849,041 2,547,124 1,273,562 636,781 1,910,344 955,172 477,586 238,793 716,380 358,190 179,095 537,286 268,643 805,930 402,965 1,208,896 604,448 302,224 151,112 75,556 37,778 18,889 56,668 28,334 14,167 42,502 21,251 63,754 31,877 95,632 47,816 23,908 11,954 5,977 17,932 8,966

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