42,007,274

2 × 21003637

42,007,274 factors as 2 × 21003637. Its 4 positive divisors give a proper-divisor sum of 21,003,640, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 21003637

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 63,010,914

Proper Divisor Sum 21,003,640

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #42007267 ← → #42007279

Radix Representation

Decimal	42007274
Binary	10100000001111101011101010 (26 bits)
Octal	0o240175352
Hexadecimal	0x280FAEA

Divisor Catalog (4)

1 2 21,003,637 42,007,274

Collatz Trajectory (191 steps to reach 1)

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

42,007,274 21,003,637 63,010,912 31,505,456 15,752,728 7,876,364 3,938,182 1,969,091 5,907,274 2,953,637 8,860,912 4,430,456 2,215,228 1,107,614 553,807 1,661,422 830,711 2,492,134 1,246,067 3,738,202 1,869,101 5,607,304 2,803,652 1,401,826 700,913 2,102,740 1,051,370 525,685 1,577,056 788,528 394,264 197,132 98,566 49,283 147,850 73,925 221,776 110,888 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234

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