2,249,096

2³ × 41 × 6857

2,249,096 factors as 2^3 × 41 × 6857. Its 16 positive divisors give a proper-divisor sum of 2,071,444, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 6857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,320,540

Proper Divisor Sum 2,071,444

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2249089 ← → #2249113

Radix Representation

Decimal	2249096
Binary	1000100101000110001000 (22 bits)
Octal	0o10450610
Hexadecimal	0x225188

Divisor Catalog (16)

1 2 4 8 41 82 164 328 6,857 13,714 27,428 54,856 281,137 562,274 1,124,548 2,249,096

Collatz Trajectory (109 steps to reach 1)

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

2,249,096 1,124,548 562,274 281,137 843,412 421,706 210,853 632,560 316,280 158,140 79,070 39,535 118,606 59,303 177,910 88,955 266,866 133,433 400,300 200,150 100,075 300,226 150,113 450,340 225,170 112,585 337,756 168,878 84,439 253,318 126,659 379,978 189,989 569,968 284,984 142,492 71,246 35,623 106,870 53,435 160,306 80,153 240,460 120,230 60,115 180,346 90,173 270,520 135,260 67,630 33,815 101,446 50,723 152,170 76,085 228,256 114,128 57,064 28,532 14,266

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