2,829,969

3² × 314441

2,829,969 factors as 3^2 × 314441. Its 6 positive divisors give a proper-divisor sum of 1,257,777, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3^2 × 314441

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,087,746

Proper Divisor Sum 1,257,777

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #2829961 ← → #2829977

Radix Representation

Decimal	2829969
Binary	1010110010111010010001 (22 bits)
Octal	0o12627221
Hexadecimal	0x2B2E91

Divisor Catalog (6)

1 3 9 314,441 943,323 2,829,969

Collatz Trajectory (107 steps to reach 1)

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

2,829,969 8,489,908 4,244,954 2,122,477 6,367,432 3,183,716 1,591,858 795,929 2,387,788 1,193,894 596,947 1,790,842 895,421 2,686,264 1,343,132 671,566 335,783 1,007,350 503,675 1,511,026 755,513 2,266,540 1,133,270 566,635 1,699,906 849,953 2,549,860 1,274,930 637,465 1,912,396 956,198 478,099 1,434,298 717,149 2,151,448 1,075,724 537,862 268,931 806,794 403,397 1,210,192 605,096 302,548 151,274 75,637 226,912 113,456 56,728 28,364 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992

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