42,084,539

7 × 29 × 379 × 547

42,084,539 factors as 7 × 29 × 379 × 547. Its 16 positive divisors give a proper-divisor sum of 7,893,061, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 7 × 29 × 379 × 547

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 49,977,600

Proper Divisor Sum 7,893,061

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #42084533 ← → #42084541

Radix Representation

Decimal	42084539
Binary	10100000100010100010111011 (26 bits)
Octal	0o240424273
Hexadecimal	0x28228BB

Divisor Catalog (16)

1 7 29 203 379 547 2,653 3,829 10,991 15,863 76,937 111,041 207,313 1,451,191 6,012,077 42,084,539

Collatz Trajectory (209 steps to reach 1)

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

42,084,539 126,253,618 63,126,809 189,380,428 94,690,214 47,345,107 142,035,322 71,017,661 213,052,984 106,526,492 53,263,246 26,631,623 79,894,870 39,947,435 119,842,306 59,921,153 179,763,460 89,881,730 44,940,865 134,822,596 67,411,298 33,705,649 101,116,948 50,558,474 25,279,237 75,837,712 37,918,856 18,959,428 9,479,714 4,739,857 14,219,572 7,109,786 3,554,893 10,664,680 5,332,340 2,666,170 1,333,085 3,999,256 1,999,628 999,814 499,907 1,499,722 749,861 2,249,584 1,124,792 562,396 281,198 140,599 421,798 210,899 632,698 316,349 949,048 474,524 237,262 118,631 355,894 177,947 533,842 266,921

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