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Atlas › Integer Profiles › Node 51,187,302

51,187,302

2 × 34 × 107 × 2953
Abundant Even Composite

51,187,302 factors as 2 × 3^4 × 107 × 2953. Its 40 positive divisors give a proper-divisor sum of 64,621,314, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 107 × 2953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 115,808,616
Proper Divisor Sum 64,621,314
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51187271 ← → #51187303

Radix Representation

Decimal 51187302
Binary 11000011010000111001100110 (26 bits)
Octal 0o303207146
Hexadecimal 0x30D0E66

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1,926 2,889 2,953 5,778 5,906 8,667 8,859 17,334 17,718 26,577 53,154 79,731 159,462 239,193 315,971 478,386 631,942 947,913 1,895,826 2,843,739 5,687,478 8,531,217 17,062,434 25,593,651 51,187,302

Collatz Trajectory (199 steps to reach 1)

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

51,187,302 25,593,651 76,780,954 38,390,477 115,171,432 57,585,716 28,792,858 14,396,429 43,189,288 21,594,644 10,797,322 5,398,661 16,195,984 8,097,992 4,048,996 2,024,498 1,012,249 3,036,748 1,518,374 759,187 2,277,562 1,138,781 3,416,344 1,708,172 854,086 427,043 1,281,130 640,565 1,921,696 960,848 480,424 240,212 120,106 60,053 180,160 90,080 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128

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