λ
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Atlas › Integer Profiles › Node 53,902,340

53,902,340

22 × 5 × 23 × 37 × 3167
Abundant Even Composite

53,902,340 factors as 2^2 × 5 × 23 × 37 × 3167. Its 48 positive divisors give a proper-divisor sum of 67,444,732, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 37 × 3167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 121,347,072
Proper Divisor Sum 67,444,732
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #53902337 ← → #53902367

Radix Representation

Decimal 53902340
Binary 11001101100111110000000100 (26 bits)
Octal 0o315476004
Hexadecimal 0x3367C04

Divisor Catalog (48)

1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1,702 3,167 3,404 4,255 6,334 8,510 12,668 15,835 17,020 31,670 63,340 72,841 117,179 145,682 234,358 291,364 364,205 468,716 585,895 728,410 1,171,790 1,456,820 2,343,580 2,695,117 5,390,234 10,780,468 13,475,585 26,951,170 53,902,340

Collatz Trajectory (88 steps to reach 1)

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

53,902,340 26,951,170 13,475,585 40,426,756 20,213,378 10,106,689 30,320,068 15,160,034 7,580,017 22,740,052 11,370,026 5,685,013 17,055,040 8,527,520 4,263,760 2,131,880 1,065,940 532,970 266,485 799,456 399,728 199,864 99,932 49,966 24,983 74,950 37,475 112,426 56,213 168,640 84,320 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268

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