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Atlas › Integer Profiles › Node 11,680,767

11,680,767

37 × 72 × 109
Deficient Odd Composite

11,680,767 factors as 3^7 × 7^2 × 109. Its 48 positive divisors give a proper-divisor sum of 8,884,833, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3^7 × 7^2 × 109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,565,600
Proper Divisor Sum 8,884,833
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11680759 ← → #11680771

Radix Representation

Decimal 11680767
Binary 101100100011101111111111 (24 bits)
Octal 0o54435777
Hexadecimal 0xB23BFF

Divisor Catalog (48)

1 3 7 9 21 27 49 63 81 109 147 189 243 327 441 567 729 763 981 1,323 1,701 2,187 2,289 2,943 3,969 5,103 5,341 6,867 8,829 11,907 15,309 16,023 20,601 26,487 35,721 48,069 61,803 79,461 107,163 144,207 185,409 238,383 432,621 556,227 1,297,863 1,668,681 3,893,589 11,680,767

Collatz Trajectory (215 steps to reach 1)

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

11,680,767 35,042,302 17,521,151 52,563,454 26,281,727 78,845,182 39,422,591 118,267,774 59,133,887 177,401,662 88,700,831 266,102,494 133,051,247 399,153,742 199,576,871 598,730,614 299,365,307 898,095,922 449,047,961 1,347,143,884 673,571,942 336,785,971 1,010,357,914 505,178,957 1,515,536,872 757,768,436 378,884,218 189,442,109 568,326,328 284,163,164 142,081,582 71,040,791 213,122,374 106,561,187 319,683,562 159,841,781 479,525,344 239,762,672 119,881,336 59,940,668 29,970,334 14,985,167 44,955,502 22,477,751 67,433,254 33,716,627 101,149,882 50,574,941 151,724,824 75,862,412 37,931,206 18,965,603 56,896,810 28,448,405 85,345,216 42,672,608 21,336,304 10,668,152 5,334,076 2,667,038

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