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Atlas › Integer Profiles › Node 2,157,147

2,157,147

32 × 17 × 23 × 613
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 17 × 23 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,448,224
Proper Divisor Sum 1,291,077
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2157131 ← → #2157149

Radix Representation

Decimal 2157147
Binary 1000001110101001011011 (22 bits)
Octal 0o10165133
Hexadecimal 0x20EA5B

Divisor Catalog (24)

1 3 9 17 23 51 69 153 207 391 613 1,173 1,839 3,519 5,517 10,421 14,099 31,263 42,297 93,789 126,891 239,683 719,049 2,157,147

Collatz Trajectory (285 steps to reach 1)

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

2,157,147 6,471,442 3,235,721 9,707,164 4,853,582 2,426,791 7,280,374 3,640,187 10,920,562 5,460,281 16,380,844 8,190,422 4,095,211 12,285,634 6,142,817 18,428,452 9,214,226 4,607,113 13,821,340 6,910,670 3,455,335 10,366,006 5,183,003 15,549,010 7,774,505 23,323,516 11,661,758 5,830,879 17,492,638 8,746,319 26,238,958 13,119,479 39,358,438 19,679,219 59,037,658 29,518,829 88,556,488 44,278,244 22,139,122 11,069,561 33,208,684 16,604,342 8,302,171 24,906,514 12,453,257 37,359,772 18,679,886 9,339,943 28,019,830 14,009,915 42,029,746 21,014,873 63,044,620 31,522,310 15,761,155 47,283,466 23,641,733 70,925,200 35,462,600 17,731,300

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