λ
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Atlas › Integer Profiles › Node 4,774,448

4,774,448

24 × 7 × 47 × 907
Abundant Even Composite

4,774,448 factors as 2^4 × 7 × 47 × 907. Its 40 positive divisors give a proper-divisor sum of 6,034,384, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 47 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,808,832
Proper Divisor Sum 6,034,384
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4774439 ← → #4774459

Radix Representation

Decimal 4774448
Binary 10010001101101000110000 (23 bits)
Octal 0o22155060
Hexadecimal 0x48DA30

Divisor Catalog (40)

1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 907 1,316 1,814 2,632 3,628 5,264 6,349 7,256 12,698 14,512 25,396 42,629 50,792 85,258 101,584 170,516 298,403 341,032 596,806 682,064 1,193,612 2,387,224 4,774,448

Collatz Trajectory (100 steps to reach 1)

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

4,774,448 2,387,224 1,193,612 596,806 298,403 895,210 447,605 1,342,816 671,408 335,704 167,852 83,926 41,963 125,890 62,945 188,836 94,418 47,209 141,628 70,814 35,407 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844

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