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Atlas › Integer Profiles › Node 16,200,045

16,200,045

32 × 5 × 157 × 2293
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 157 × 2293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 28,271,256
Proper Divisor Sum 12,071,211
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #16200029 ← → #16200053

Radix Representation

Decimal 16200045
Binary 111101110011000101101101 (24 bits)
Octal 0o75630555
Hexadecimal 0xF7316D

Divisor Catalog (24)

1 3 5 9 15 45 157 471 785 1,413 2,293 2,355 6,879 7,065 11,465 20,637 34,395 103,185 360,001 1,080,003 1,800,005 3,240,009 5,400,015 16,200,045

Collatz Trajectory (223 steps to reach 1)

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

16,200,045 48,600,136 24,300,068 12,150,034 6,075,017 18,225,052 9,112,526 4,556,263 13,668,790 6,834,395 20,503,186 10,251,593 30,754,780 15,377,390 7,688,695 23,066,086 11,533,043 34,599,130 17,299,565 51,898,696 25,949,348 12,974,674 6,487,337 19,462,012 9,731,006 4,865,503 14,596,510 7,298,255 21,894,766 10,947,383 32,842,150 16,421,075 49,263,226 24,631,613 73,894,840 36,947,420 18,473,710 9,236,855 27,710,566 13,855,283 41,565,850 20,782,925 62,348,776 31,174,388 15,587,194 7,793,597 23,380,792 11,690,396 5,845,198 2,922,599 8,767,798 4,383,899 13,151,698 6,575,849 19,727,548 9,863,774 4,931,887 14,795,662 7,397,831 22,193,494

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