2,729,955

3 × 5 × 181997

2,729,955 has digital root 3. The neighboring primes are 2729921 and 2729957; its proper-divisor sum differs from the starting integer by -1,091,958.

Prime Factor Structure

Factorization String 3 × 5 × 181997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,367,952

Proper Divisor Sum 1,637,997

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2729921 ← → #2729957

Radix Representation

Decimal	2729955
Binary	1010011010011111100011 (22 bits)
Octal	0o12323743
Hexadecimal	0x29A7E3

Divisor Catalog (8)

1 3 5 15 181,997 545,991 909,985 2,729,955

Collatz Trajectory (107 steps to reach 1)

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

2,729,955 8,189,866 4,094,933 12,284,800 6,142,400 3,071,200 1,535,600 767,800 383,900 191,950 95,975 287,926 143,963 431,890 215,945 647,836 323,918 161,959 485,878 242,939 728,818 364,409 1,093,228 546,614 273,307 819,922 409,961 1,229,884 614,942 307,471 922,414 461,207 1,383,622 691,811 2,075,434 1,037,717 3,113,152 1,556,576 778,288 389,144 194,572 97,286 48,643 145,930 72,965 218,896 109,448 54,724 27,362 13,681 41,044 20,522 10,261 30,784 15,392 7,696 3,848 1,924 962 481

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