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Atlas › Integer Profiles › Node 17,570,475

17,570,475

32 × 52 × 13 × 6007
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13 × 6007
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 33,897,136
Proper Divisor Sum 16,326,661
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17570471 ← → #17570477

Radix Representation

Decimal 17570475
Binary 1000011000001101010101011 (25 bits)
Octal 0o103015253
Hexadecimal 0x10C1AAB

Divisor Catalog (36)

1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2,925 6,007 18,021 30,035 54,063 78,091 90,105 150,175 234,273 270,315 390,455 450,525 702,819 1,171,365 1,351,575 1,952,275 3,514,095 5,856,825 17,570,475

Collatz Trajectory (350 steps to reach 1)

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

17,570,475 52,711,426 26,355,713 79,067,140 39,533,570 19,766,785 59,300,356 29,650,178 14,825,089 44,475,268 22,237,634 11,118,817 33,356,452 16,678,226 8,339,113 25,017,340 12,508,670 6,254,335 18,763,006 9,381,503 28,144,510 14,072,255 42,216,766 21,108,383 63,325,150 31,662,575 94,987,726 47,493,863 142,481,590 71,240,795 213,722,386 106,861,193 320,583,580 160,291,790 80,145,895 240,437,686 120,218,843 360,656,530 180,328,265 540,984,796 270,492,398 135,246,199 405,738,598 202,869,299 608,607,898 304,303,949 912,911,848 456,455,924 228,227,962 114,113,981 342,341,944 171,170,972 85,585,486 42,792,743 128,378,230 64,189,115 192,567,346 96,283,673 288,851,020 144,425,510

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