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Atlas › Integer Profiles › Node 31,329,935

31,329,935

5 × 7 × 13 × 37 × 1861
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 13 × 37 × 1861
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,548,032
Proper Divisor Sum 16,218,097
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #31329919 ← → #31329941

Radix Representation

Decimal 31329935
Binary 1110111100000111010001111 (25 bits)
Octal 0o167407217
Hexadecimal 0x1DE0E8F

Divisor Catalog (32)

1 5 7 13 35 37 65 91 185 259 455 481 1,295 1,861 2,405 3,367 9,305 13,027 16,835 24,193 65,135 68,857 120,965 169,351 344,285 481,999 846,755 895,141 2,409,995 4,475,705 6,265,987 31,329,935

Collatz Trajectory (325 steps to reach 1)

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

31,329,935 93,989,806 46,994,903 140,984,710 70,492,355 211,477,066 105,738,533 317,215,600 158,607,800 79,303,900 39,651,950 19,825,975 59,477,926 29,738,963 89,216,890 44,608,445 133,825,336 66,912,668 33,456,334 16,728,167 50,184,502 25,092,251 75,276,754 37,638,377 112,915,132 56,457,566 28,228,783 84,686,350 42,343,175 127,029,526 63,514,763 190,544,290 95,272,145 285,816,436 142,908,218 71,454,109 214,362,328 107,181,164 53,590,582 26,795,291 80,385,874 40,192,937 120,578,812 60,289,406 30,144,703 90,434,110 45,217,055 135,651,166 67,825,583 203,476,750 101,738,375 305,215,126 152,607,563 457,822,690 228,911,345 686,734,036 343,367,018 171,683,509 515,050,528 257,525,264

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