2,248,317

3⁴ × 41 × 677

2,248,317 factors as 3^4 × 41 × 677. Its 20 positive divisors give a proper-divisor sum of 1,197,279, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3^4 × 41 × 677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,445,596

Proper Divisor Sum 1,197,279

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2248303 ← → #2248331

Radix Representation

Decimal	2248317
Binary	1000100100111001111101 (22 bits)
Octal	0o10447175
Hexadecimal	0x224E7D

Divisor Catalog (20)

Collatz Trajectory (135 steps to reach 1)

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

2,248,317 6,744,952 3,372,476 1,686,238 843,119 2,529,358 1,264,679 3,794,038 1,897,019 5,691,058 2,845,529 8,536,588 4,268,294 2,134,147 6,402,442 3,201,221 9,603,664 4,801,832 2,400,916 1,200,458 600,229 1,800,688 900,344 450,172 225,086 112,543 337,630 168,815 506,446 253,223 759,670 379,835 1,139,506 569,753 1,709,260 854,630 427,315 1,281,946 640,973 1,922,920 961,460 480,730 240,365 721,096 360,548 180,274 90,137 270,412 135,206 67,603 202,810 101,405 304,216 152,108 76,054 38,027 114,082 57,041 171,124 85,562

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