λ
Ratio Atlas

42,372,039

3 × 14124013
Deficient Odd Composite

42,372,039 factors as 3 × 14124013. Its 4 positive divisors give a proper-divisor sum of 14,124,017, so this integer is deficient. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 3 × 14124013
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 56,496,056
Proper Divisor Sum 14,124,017
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #42371999 ← → #42372053

Radix Representation

Decimal 42372039
Binary 10100001101000101111000111 (26 bits)
Octal 0o241505707
Hexadecimal 0x2868BC7

Divisor Catalog (4)

Collatz Trajectory (297 steps to reach 1)

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

42,372,039 127,116,118 63,558,059 190,674,178 95,337,089 286,011,268 143,005,634 71,502,817 214,508,452 107,254,226 53,627,113 160,881,340 80,440,670 40,220,335 120,661,006 60,330,503 180,991,510 90,495,755 271,487,266 135,743,633 407,230,900 203,615,450 101,807,725 305,423,176 152,711,588 76,355,794 38,177,897 114,533,692 57,266,846 28,633,423 85,900,270 42,950,135 128,850,406 64,425,203 193,275,610 96,637,805 289,913,416 144,956,708 72,478,354 36,239,177 108,717,532 54,358,766 27,179,383 81,538,150 40,769,075 122,307,226 61,153,613 183,460,840 91,730,420 45,865,210 22,932,605 68,797,816 34,398,908 17,199,454 8,599,727 25,799,182 12,899,591 38,698,774 19,349,387 58,048,162

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