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Atlas › Integer Profiles › Node 4,774,080

4,774,080

26 × 3 × 5 × 4973
Abundant Even Composite

4,774,080 factors as 2^6 × 3 × 5 × 4973. Its 56 positive divisors give a proper-divisor sum of 10,386,672, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 4973
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 15,160,752
Proper Divisor Sum 10,386,672
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4774069 ← → #4774123

Radix Representation

Decimal 4774080
Binary 10010001101100011000000 (23 bits)
Octal 0o22154300
Hexadecimal 0x48D8C0

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4,973 9,946 14,919 19,892 24,865 29,838 39,784 49,730 59,676 74,595 79,568 99,460 119,352 149,190 159,136 198,920 238,704 298,380 318,272 397,840 477,408 596,760 795,680 954,816 1,193,520 1,591,360 2,387,040 4,774,080

Collatz Trajectory (118 steps to reach 1)

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

4,774,080 2,387,040 1,193,520 596,760 298,380 149,190 74,595 223,786 111,893 335,680 167,840 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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