λ
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Atlas › Integer Profiles › Node 5,776,090

5,776,090

2 × 5 × 17 × 61 × 557
Deficient Even Composite

5,776,090 factors as 2 × 5 × 17 × 61 × 557. Its 32 positive divisors give a proper-divisor sum of 5,433,014, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 61 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,209,104
Proper Divisor Sum 5,433,014
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5776081 ← → #5776091

Radix Representation

Decimal 5776090
Binary 10110000010001011011010 (23 bits)
Octal 0o26021332
Hexadecimal 0x5822DA

Divisor Catalog (32)

1 2 5 10 17 34 61 85 122 170 305 557 610 1,037 1,114 2,074 2,785 5,185 5,570 9,469 10,370 18,938 33,977 47,345 67,954 94,690 169,885 339,770 577,609 1,155,218 2,888,045 5,776,090

Collatz Trajectory (157 steps to reach 1)

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

5,776,090 2,888,045 8,664,136 4,332,068 2,166,034 1,083,017 3,249,052 1,624,526 812,263 2,436,790 1,218,395 3,655,186 1,827,593 5,482,780 2,741,390 1,370,695 4,112,086 2,056,043 6,168,130 3,084,065 9,252,196 4,626,098 2,313,049 6,939,148 3,469,574 1,734,787 5,204,362 2,602,181 7,806,544 3,903,272 1,951,636 975,818 487,909 1,463,728 731,864 365,932 182,966 91,483 274,450 137,225 411,676 205,838 102,919 308,758 154,379 463,138 231,569 694,708 347,354 173,677 521,032 260,516 130,258 65,129 195,388 97,694 48,847 146,542 73,271 219,814

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