λ
Sequence Observatory

6,319,308

22 × 3 × 17 × 30977
Abundant Even Composite

Starting at 6,319,308, the Collatz iteration reaches 1 after 152 steps. The first transition is 3159654; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 30977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,612,912
Proper Divisor Sum 9,293,604
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6319307 ← → #6319333

Radix Representation

Decimal 6319308
Binary 11000000110110011001100 (23 bits)
Octal 0o30066314
Hexadecimal 0x606CCC

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 30,977 61,954 92,931 123,908 185,862 371,724 526,609 1,053,218 1,579,827 2,106,436 3,159,654 6,319,308

Collatz Trajectory (152 steps to reach 1)

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

6,319,308 3,159,654 1,579,827 4,739,482 2,369,741 7,109,224 3,554,612 1,777,306 888,653 2,665,960 1,332,980 666,490 333,245 999,736 499,868 249,934 124,967 374,902 187,451 562,354 281,177 843,532 421,766 210,883 632,650 316,325 948,976 474,488 237,244 118,622 59,311 177,934 88,967 266,902 133,451 400,354 200,177 600,532 300,266 150,133 450,400 225,200 112,600 56,300 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085

More profiles

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