4,492,880

2⁴ × 5 × 7 × 71 × 113

4,492,880 factors as 2^4 × 5 × 7 × 71 × 113. Its 80 positive divisors give a proper-divisor sum of 7,720,624, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 71 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 12,213,504

Proper Divisor Sum 7,720,624

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4492877 ← → #4492919

Radix Representation

Decimal	4492880
Binary	10001001000111001010000 (23 bits)
Octal	0o21107120
Hexadecimal	0x448E50

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 113 140 142 226 280 284 355 452 497 560 565 568 710 791 904 994 1,130 1,136 1,420 1,582 1,808 1,988 2,260 2,485 2,840 3,164 3,955 3,976 4,520 4,970 5,680 6,328 7,910 7,952 8,023 9,040 9,940 12,656 15,820 16,046 19,880 31,640

Collatz Trajectory (87 steps to reach 1)

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

4,492,880 2,246,440 1,123,220 561,610 280,805 842,416 421,208 210,604 105,302 52,651 157,954 78,977 236,932 118,466 59,233 177,700 88,850 44,425 133,276 66,638 33,319 99,958 49,979 149,938 74,969 224,908 112,454 56,227 168,682 84,341 253,024 126,512 63,256 31,628 15,814 7,907 23,722 11,861 35,584 17,792 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134

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