3,827,897

3827897

Starting at 3,827,897, the Collatz iteration reaches 1 after 247 steps. The first transition is 11483692; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3827897

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 3,827,898

Proper Divisor Sum 1

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3827893 ← → #3827899

Radix Representation

Decimal	3827897
Binary	1110100110100010111001 (22 bits)
Octal	0o16464271
Hexadecimal	0x3A68B9

Divisor Catalog (2)

1 3,827,897

Collatz Trajectory (247 steps to reach 1)

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

3,827,897 11,483,692 5,741,846 2,870,923 8,612,770 4,306,385 12,919,156 6,459,578 3,229,789 9,689,368 4,844,684 2,422,342 1,211,171 3,633,514 1,816,757 5,450,272 2,725,136 1,362,568 681,284 340,642 170,321 510,964 255,482 127,741 383,224 191,612 95,806 47,903 143,710 71,855 215,566 107,783 323,350 161,675 485,026 242,513 727,540 363,770 181,885 545,656 272,828 136,414 68,207 204,622 102,311 306,934 153,467 460,402 230,201 690,604 345,302 172,651 517,954 258,977 776,932 388,466 194,233 582,700 291,350 145,675

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