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Atlas › Integer Profiles › Node 5,770,107

5,770,107

32 × 7 × 67 × 1367
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 67 × 1367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,674,496
Proper Divisor Sum 3,904,389
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5770103 ← → #5770109

Radix Representation

Decimal 5770107
Binary 10110000000101101111011 (23 bits)
Octal 0o26005573
Hexadecimal 0x580B7B

Divisor Catalog (24)

1 3 7 9 21 63 67 201 469 603 1,367 1,407 4,101 4,221 9,569 12,303 28,707 86,121 91,589 274,767 641,123 824,301 1,923,369 5,770,107

Collatz Trajectory (245 steps to reach 1)

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

5,770,107 17,310,322 8,655,161 25,965,484 12,982,742 6,491,371 19,474,114 9,737,057 29,211,172 14,605,586 7,302,793 21,908,380 10,954,190 5,477,095 16,431,286 8,215,643 24,646,930 12,323,465 36,970,396 18,485,198 9,242,599 27,727,798 13,863,899 41,591,698 20,795,849 62,387,548 31,193,774 15,596,887 46,790,662 23,395,331 70,185,994 35,092,997 105,278,992 52,639,496 26,319,748 13,159,874 6,579,937 19,739,812 9,869,906 4,934,953 14,804,860 7,402,430 3,701,215 11,103,646 5,551,823 16,655,470 8,327,735 24,983,206 12,491,603 37,474,810 18,737,405 56,212,216 28,106,108 14,053,054 7,026,527 21,079,582 10,539,791 31,619,374 15,809,687 47,429,062

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