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Atlas › Integer Profiles › Node 4,874,080

4,874,080

25 × 5 × 41 × 743
Abundant Even Composite

4,874,080 factors as 2^5 × 5 × 41 × 743. Its 48 positive divisors give a proper-divisor sum of 6,937,664, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 41 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,811,744
Proper Divisor Sum 6,937,664
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4874069 ← → #4874081

Radix Representation

Decimal 4874080
Binary 10010100101111101100000 (23 bits)
Octal 0o22457540
Hexadecimal 0x4A5F60

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 743 820 1,312 1,486 1,640 2,972 3,280 3,715 5,944 6,560 7,430 11,888 14,860 23,776 29,720 30,463 59,440 60,926 118,880 121,852 152,315 243,704 304,630 487,408 609,260 974,816 1,218,520 2,437,040 4,874,080

Collatz Trajectory (206 steps to reach 1)

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

4,874,080 2,437,040 1,218,520 609,260 304,630 152,315 456,946 228,473 685,420 342,710 171,355 514,066 257,033 771,100 385,550 192,775 578,326 289,163 867,490 433,745 1,301,236 650,618 325,309 975,928 487,964 243,982 121,991 365,974 182,987 548,962 274,481 823,444 411,722 205,861 617,584 308,792 154,396 77,198 38,599 115,798 57,899 173,698 86,849 260,548 130,274 65,137 195,412 97,706 48,853 146,560 73,280 36,640 18,320 9,160 4,580 2,290 1,145 3,436 1,718 859

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