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Atlas › Integer Profiles › Node 4,490,880

4,490,880

27 × 3 × 5 × 2339
Abundant Even Composite

4,490,880 factors as 2^7 × 3 × 5 × 2339. Its 64 positive divisors give a proper-divisor sum of 9,829,920, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 2339
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,320,800
Proper Divisor Sum 9,829,920
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4490879 ← → #4490921

Radix Representation

Decimal 4490880
Binary 10001001000011010000000 (23 bits)
Octal 0o21103200
Hexadecimal 0x448680

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1,920 2,339 4,678 7,017 9,356 11,695 14,034 18,712 23,390 28,068 35,085 37,424 46,780 56,136 70,170 74,848 93,560 112,272 140,340 149,696 187,120 224,544 280,680 299,392 374,240 449,088 561,360 748,480 898,176

Collatz Trajectory (149 steps to reach 1)

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

4,490,880 2,245,440 1,122,720 561,360 280,680 140,340 70,170 35,085 105,256 52,628 26,314 13,157 39,472 19,736 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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