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Atlas › Integer Profiles › Node 4,697,448

4,697,448

23 × 3 × 7 × 27961
Abundant Even Composite

4,697,448 factors as 2^3 × 3 × 7 × 27961. Its 32 positive divisors give a proper-divisor sum of 8,724,312, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 27961
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,421,760
Proper Divisor Sum 8,724,312
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4697447 ← → #4697453

Radix Representation

Decimal 4697448
Binary 10001111010110101101000 (23 bits)
Octal 0o21726550
Hexadecimal 0x47AD68

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 27,961 55,922 83,883 111,844 167,766 195,727 223,688 335,532 391,454 587,181 671,064 782,908 1,174,362 1,565,816 2,348,724 4,697,448

Collatz Trajectory (175 steps to reach 1)

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

4,697,448 2,348,724 1,174,362 587,181 1,761,544 880,772 440,386 220,193 660,580 330,290 165,145 495,436 247,718 123,859 371,578 185,789 557,368 278,684 139,342 69,671 209,014 104,507 313,522 156,761 470,284 235,142 117,571 352,714 176,357 529,072 264,536 132,268 66,134 33,067 99,202 49,601 148,804 74,402 37,201 111,604 55,802 27,901 83,704 41,852 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798

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