λ
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7,089,880

23 × 5 × 7 × 25321
Abundant Even Composite

7,089,880 factors as 2^3 × 5 × 7 × 25321. Its 32 positive divisors give a proper-divisor sum of 11,141,960, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 25321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,231,840
Proper Divisor Sum 11,141,960
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7089877 ← → #7089881

Radix Representation

Decimal 7089880
Binary 11011000010111011011000 (23 bits)
Octal 0o33027330
Hexadecimal 0x6C2ED8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 25,321 50,642 101,284 126,605 177,247 202,568 253,210 354,494 506,420 708,988 886,235 1,012,840 1,417,976 1,772,470 3,544,940 7,089,880

Collatz Trajectory (85 steps to reach 1)

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

7,089,880 3,544,940 1,772,470 886,235 2,658,706 1,329,353 3,988,060 1,994,030 997,015 2,991,046 1,495,523 4,486,570 2,243,285 6,729,856 3,364,928 1,682,464 841,232 420,616 210,308 105,154 52,577 157,732 78,866 39,433 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250

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