2,052,105

3 × 5 × 11 × 12437

2,052,105 factors as 3 × 5 × 11 × 12437. Its 16 positive divisors give a proper-divisor sum of 1,530,039, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 12437

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,582,144

Proper Divisor Sum 1,530,039

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2052097 ← → #2052109

Radix Representation

Decimal	2052105
Binary	111110101000000001001 (21 bits)
Octal	0o7650011
Hexadecimal	0x1F5009

Divisor Catalog (16)

1 3 5 11 15 33 55 165 12,437 37,311 62,185 136,807 186,555 410,421 684,035 2,052,105

Collatz Trajectory (184 steps to reach 1)

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

2,052,105 6,156,316 3,078,158 1,539,079 4,617,238 2,308,619 6,925,858 3,462,929 10,388,788 5,194,394 2,597,197 7,791,592 3,895,796 1,947,898 973,949 2,921,848 1,460,924 730,462 365,231 1,095,694 547,847 1,643,542 821,771 2,465,314 1,232,657 3,697,972 1,848,986 924,493 2,773,480 1,386,740 693,370 346,685 1,040,056 520,028 260,014 130,007 390,022 195,011 585,034 292,517 877,552 438,776 219,388 109,694 54,847 164,542 82,271 246,814 123,407 370,222 185,111 555,334 277,667 833,002 416,501 1,249,504 624,752 312,376 156,188 78,094

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