λ
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Atlas › Integer Profiles › Node 7,199,880

7,199,880

23 × 3 × 5 × 59999
Abundant Even Composite

7,199,880 factors as 2^3 × 3 × 5 × 59999. Its 32 positive divisors give a proper-divisor sum of 14,400,120, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 59999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,600,000
Proper Divisor Sum 14,400,120
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7199869 ← → #7199909

Radix Representation

Decimal 7199880
Binary 11011011101110010001000 (23 bits)
Octal 0o33356210
Hexadecimal 0x6DDC88

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 59,999 119,998 179,997 239,996 299,995 359,994 479,992 599,990 719,988 899,985 1,199,980 1,439,976 1,799,970 2,399,960 3,599,940 7,199,880

Collatz Trajectory (235 steps to reach 1)

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

7,199,880 3,599,940 1,799,970 899,985 2,699,956 1,349,978 674,989 2,024,968 1,012,484 506,242 253,121 759,364 379,682 189,841 569,524 284,762 142,381 427,144 213,572 106,786 53,393 160,180 80,090 40,045 120,136 60,068 30,034 15,017 45,052 22,526 11,263 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025

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