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Atlas › Integer Profiles › Node 42,372,040

42,372,040

23 × 5 × 31 × 34171
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 34171
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 98,415,360
Proper Divisor Sum 56,043,320
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #42371999 ← → #42372053

Radix Representation

Decimal 42372040
Binary 10100001101000101111001000 (26 bits)
Octal 0o241505710
Hexadecimal 0x2868BC8

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 34,171 68,342 136,684 170,855 273,368 341,710 683,420 1,059,301 1,366,840 2,118,602 4,237,204 5,296,505 8,474,408 10,593,010 21,186,020 42,372,040

Collatz Trajectory (129 steps to reach 1)

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

42,372,040 21,186,020 10,593,010 5,296,505 15,889,516 7,944,758 3,972,379 11,917,138 5,958,569 17,875,708 8,937,854 4,468,927 13,406,782 6,703,391 20,110,174 10,055,087 30,165,262 15,082,631 45,247,894 22,623,947 67,871,842 33,935,921 101,807,764 50,903,882 25,451,941 76,355,824 38,177,912 19,088,956 9,544,478 4,772,239 14,316,718 7,158,359 21,475,078 10,737,539 32,212,618 16,106,309 48,318,928 24,159,464 12,079,732 6,039,866 3,019,933 9,059,800 4,529,900 2,264,950 1,132,475 3,397,426 1,698,713 5,096,140 2,548,070 1,274,035 3,822,106 1,911,053 5,733,160 2,866,580 1,433,290 716,645 2,149,936 1,074,968 537,484 268,742

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