λ
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Atlas › Integer Profiles › Node 11,610,088

11,610,088

23 × 7 × 151 × 1373
Abundant Even Composite

11,610,088 factors as 2^3 × 7 × 151 × 1373. Its 32 positive divisors give a proper-divisor sum of 13,451,672, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 151 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,061,760
Proper Divisor Sum 13,451,672
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11610073 ← → #11610097

Radix Representation

Decimal 11610088
Binary 101100010010011111101000 (24 bits)
Octal 0o54223750
Hexadecimal 0xB127E8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 151 302 604 1,057 1,208 1,373 2,114 2,746 4,228 5,492 8,456 9,611 10,984 19,222 38,444 76,888 207,323 414,646 829,292 1,451,261 1,658,584 2,902,522 5,805,044 11,610,088

Collatz Trajectory (228 steps to reach 1)

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

11,610,088 5,805,044 2,902,522 1,451,261 4,353,784 2,176,892 1,088,446 544,223 1,632,670 816,335 2,449,006 1,224,503 3,673,510 1,836,755 5,510,266 2,755,133 8,265,400 4,132,700 2,066,350 1,033,175 3,099,526 1,549,763 4,649,290 2,324,645 6,973,936 3,486,968 1,743,484 871,742 435,871 1,307,614 653,807 1,961,422 980,711 2,942,134 1,471,067 4,413,202 2,206,601 6,619,804 3,309,902 1,654,951 4,964,854 2,482,427 7,447,282 3,723,641 11,170,924 5,585,462 2,792,731 8,378,194 4,189,097 12,567,292 6,283,646 3,141,823 9,425,470 4,712,735 14,138,206 7,069,103 21,207,310 10,603,655 31,810,966 15,905,483

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