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Atlas › Integer Profiles › Node 4,960,720

4,960,720

24 × 5 × 59 × 1051
Abundant Even Composite

4,960,720 factors as 2^4 × 5 × 59 × 1051. Its 40 positive divisors give a proper-divisor sum of 6,779,600, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 59 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,740,320
Proper Divisor Sum 6,779,600
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4960717 ← → #4960727

Radix Representation

Decimal 4960720
Binary 10010111011000111010000 (23 bits)
Octal 0o22730720
Hexadecimal 0x4BB1D0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1,051 1,180 2,102 2,360 4,204 4,720 5,255 8,408 10,510 16,816 21,020 42,040 62,009 84,080 124,018 248,036 310,045 496,072 620,090 992,144 1,240,180 2,480,360 4,960,720

Collatz Trajectory (175 steps to reach 1)

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

4,960,720 2,480,360 1,240,180 620,090 310,045 930,136 465,068 232,534 116,267 348,802 174,401 523,204 261,602 130,801 392,404 196,202 98,101 294,304 147,152 73,576 36,788 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146

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