42,390,214

2 × 17 × 347 × 3593

42,390,214 factors as 2 × 17 × 347 × 3593. Its 16 positive divisors give a proper-divisor sum of 25,148,234, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 17 × 347 × 3593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 67,538,448

Proper Divisor Sum 25,148,234

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #42390211 ← → #42390223

Radix Representation

Decimal	42390214
Binary	10100001101101001011000110 (26 bits)
Octal	0o241551306
Hexadecimal	0x286D2C6

Divisor Catalog (16)

1 2 17 34 347 694 3,593 5,899 7,186 11,798 61,081 122,162 1,246,771 2,493,542 21,195,107 42,390,214

Collatz Trajectory (147 steps to reach 1)

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

42,390,214 21,195,107 63,585,322 31,792,661 95,377,984 47,688,992 23,844,496 11,922,248 5,961,124 2,980,562 1,490,281 4,470,844 2,235,422 1,117,711 3,353,134 1,676,567 5,029,702 2,514,851 7,544,554 3,772,277 11,316,832 5,658,416 2,829,208 1,414,604 707,302 353,651 1,060,954 530,477 1,591,432 795,716 397,858 198,929 596,788 298,394 149,197 447,592 223,796 111,898 55,949 167,848 83,924 41,962 20,981 62,944 31,472 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472

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