4,046,895

3³ × 5 × 31 × 967

Starting at 4,046,895, the Collatz iteration reaches 1 after 110 steps. The first transition is 12140686; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 31 × 967

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,434,240

Proper Divisor Sum 3,387,345

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4046881 ← → #4046897

Radix Representation

Decimal	4046895
Binary	1111011100000000101111 (22 bits)
Octal	0o17340057
Hexadecimal	0x3DC02F

Divisor Catalog (32)

1 3 5 9 15 27 31 45 93 135 155 279 465 837 967 1,395 2,901 4,185 4,835 8,703 14,505 26,109 29,977 43,515 89,931 130,545 149,885 269,793 449,655 809,379 1,348,965 4,046,895

Collatz Trajectory (110 steps to reach 1)

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

4,046,895 12,140,686 6,070,343 18,211,030 9,105,515 27,316,546 13,658,273 40,974,820 20,487,410 10,243,705 30,731,116 15,365,558 7,682,779 23,048,338 11,524,169 34,572,508 17,286,254 8,643,127 25,929,382 12,964,691 38,894,074 19,447,037 58,341,112 29,170,556 14,585,278 7,292,639 21,877,918 10,938,959 32,816,878 16,408,439 49,225,318 24,612,659 73,837,978 36,918,989 110,756,968 55,378,484 27,689,242 13,844,621 41,533,864 20,766,932 10,383,466 5,191,733 15,575,200 7,787,600 3,893,800 1,946,900 973,450 486,725 1,460,176 730,088 365,044 182,522 91,261 273,784 136,892 68,446 34,223 102,670 51,335 154,006

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