42,116,638

2 × 79 × 149 × 1789

42,116,638 factors as 2 × 79 × 149 × 1789. Its 16 positive divisors give a proper-divisor sum of 22,323,362, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 79 × 149 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 64,440,000

Proper Divisor Sum 22,323,362

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #42116621 ← → #42116647

Radix Representation

Decimal	42116638
Binary	10100000101010011000011110 (26 bits)
Octal	0o240523036
Hexadecimal	0x282A61E

Divisor Catalog (16)

1 2 79 149 158 298 1,789 3,578 11,771 23,542 141,331 266,561 282,662 533,122 21,058,319 42,116,638

Collatz Trajectory (178 steps to reach 1)

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

42,116,638 21,058,319 63,174,958 31,587,479 94,762,438 47,381,219 142,143,658 71,071,829 213,215,488 106,607,744 53,303,872 26,651,936 13,325,968 6,662,984 3,331,492 1,665,746 832,873 2,498,620 1,249,310 624,655 1,873,966 936,983 2,810,950 1,405,475 4,216,426 2,108,213 6,324,640 3,162,320 1,581,160 790,580 395,290 197,645 592,936 296,468 148,234 74,117 222,352 111,176 55,588 27,794 13,897 41,692 20,846 10,423 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530

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