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Atlas › Integer Profiles › Node 91,029,835

91,029,835

5 × 13 × 47 × 83 × 359
Deficient Odd Composite

91,029,835 factors as 5 × 13 × 47 × 83 × 359. Its 32 positive divisors give a proper-divisor sum of 30,897,845, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 5 × 13 × 47 × 83 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 121,927,680
Proper Divisor Sum 30,897,845
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #91029769 ← → #91029847

Radix Representation

Decimal 91029835
Binary 101011011010000000101001011 (27 bits)
Octal 0o533200513
Hexadecimal 0x56D014B

Divisor Catalog (32)

1 5 13 47 65 83 235 359 415 611 1,079 1,795 3,055 3,901 4,667 5,395 16,873 19,505 23,335 29,797 50,713 84,365 148,985 219,349 253,565 387,361 1,096,745 1,400,459 1,936,805 7,002,295 18,205,967 91,029,835

Collatz Trajectory (130 steps to reach 1)

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

91,029,835 273,089,506 136,544,753 409,634,260 204,817,130 102,408,565 307,225,696 153,612,848 76,806,424 38,403,212 19,201,606 9,600,803 28,802,410 14,401,205 43,203,616 21,601,808 10,800,904 5,400,452 2,700,226 1,350,113 4,050,340 2,025,170 1,012,585 3,037,756 1,518,878 759,439 2,278,318 1,139,159 3,417,478 1,708,739 5,126,218 2,563,109 7,689,328 3,844,664 1,922,332 961,166 480,583 1,441,750 720,875 2,162,626 1,081,313 3,243,940 1,621,970 810,985 2,432,956 1,216,478 608,239 1,824,718 912,359 2,737,078 1,368,539 4,105,618 2,052,809 6,158,428 3,079,214 1,539,607 4,618,822 2,309,411 6,928,234 3,464,117

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