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Atlas › Integer Profiles › Node 7,404,080

7,404,080

24 × 5 × 92551
Abundant Even Composite

7,404,080 factors as 2^4 × 5 × 92551. Its 20 positive divisors give a proper-divisor sum of 9,810,592, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 92551
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 17,214,672
Proper Divisor Sum 9,810,592
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7404073 ← → #7404083

Radix Representation

Decimal 7404080
Binary 11100001111101000110000 (23 bits)
Octal 0o34175060
Hexadecimal 0x70FA30

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 92,551 185,102 370,204 462,755 740,408 925,510 1,480,816 1,851,020 3,702,040 7,404,080

Collatz Trajectory (111 steps to reach 1)

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

7,404,080 3,702,040 1,851,020 925,510 462,755 1,388,266 694,133 2,082,400 1,041,200 520,600 260,300 130,150 65,075 195,226 97,613 292,840 146,420 73,210 36,605 109,816 54,908 27,454 13,727 41,182 20,591 61,774 30,887 92,662 46,331 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556 117,278 58,639 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829

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