λ
Sigma Notebook

7,716,537

32 × 883 × 971
Deficient Odd Composite

7,716,537 is odd and not a perfect square. Its factorization is 3^2 × 883 × 971 and its 12 divisors sum to 11,170,224.

Prime Factor Structure

Factorization String 3^2 × 883 × 971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,170,224
Proper Divisor Sum 3,453,687
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7716517 ← → #7716539

Radix Representation

Decimal 7716537
Binary 11101011011111010111001 (23 bits)
Octal 0o35337271
Hexadecimal 0x75BEB9

Divisor Catalog (12)

1 3 9 883 971 2,649 2,913 7,947 8,739 857,393 2,572,179 7,716,537

Collatz Trajectory (124 steps to reach 1)

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

7,716,537 23,149,612 11,574,806 5,787,403 17,362,210 8,681,105 26,043,316 13,021,658 6,510,829 19,532,488 9,766,244 4,883,122 2,441,561 7,324,684 3,662,342 1,831,171 5,493,514 2,746,757 8,240,272 4,120,136 2,060,068 1,030,034 515,017 1,545,052 772,526 386,263 1,158,790 579,395 1,738,186 869,093 2,607,280 1,303,640 651,820 325,910 162,955 488,866 244,433 733,300 366,650 183,325 549,976 274,988 137,494 68,747 206,242 103,121 309,364 154,682 77,341 232,024 116,012 58,006 29,003 87,010 43,505 130,516 65,258 32,629 97,888 48,944

More profiles

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