1,090,510

2 × 5 × 167 × 653

Starting at 1,090,510, the Collatz iteration reaches 1 after 240 steps. The first transition is 545255; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 167 × 653

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,977,696

Proper Divisor Sum 887,186

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1090493 ← → #1090519

Radix Representation

Decimal	1090510
Binary	100001010001111001110 (21 bits)
Octal	0o4121716
Hexadecimal	0x10A3CE

Divisor Catalog (16)

1 2 5 10 167 334 653 835 1,306 1,670 3,265 6,530 109,051 218,102 545,255 1,090,510

Collatz Trajectory (240 steps to reach 1)

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

1,090,510 545,255 1,635,766 817,883 2,453,650 1,226,825 3,680,476 1,840,238 920,119 2,760,358 1,380,179 4,140,538 2,070,269 6,210,808 3,105,404 1,552,702 776,351 2,329,054 1,164,527 3,493,582 1,746,791 5,240,374 2,620,187 7,860,562 3,930,281 11,790,844 5,895,422 2,947,711 8,843,134 4,421,567 13,264,702 6,632,351 19,897,054 9,948,527 29,845,582 14,922,791 44,768,374 22,384,187 67,152,562 33,576,281 100,728,844 50,364,422 25,182,211 75,546,634 37,773,317 113,319,952 56,659,976 28,329,988 14,164,994 7,082,497 21,247,492 10,623,746 5,311,873 15,935,620 7,967,810 3,983,905 11,951,716 5,975,858 2,987,929 8,963,788

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