λ
Sequence Observatory

6,202,868

22 × 7 × 29 × 7639
Abundant Even Composite

Starting at 6,202,868, the Collatz iteration reaches 1 after 165 steps. The first transition is 3101434; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 7639
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,835,200
Proper Divisor Sum 6,632,332
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6202853 ← → #6202877

Radix Representation

Decimal 6202868
Binary 10111101010010111110100 (23 bits)
Octal 0o27522764
Hexadecimal 0x5EA5F4

Divisor Catalog (24)

1 2 4 7 14 28 29 58 116 203 406 812 7,639 15,278 30,556 53,473 106,946 213,892 221,531 443,062 886,124 1,550,717 3,101,434 6,202,868

Collatz Trajectory (165 steps to reach 1)

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

6,202,868 3,101,434 1,550,717 4,652,152 2,326,076 1,163,038 581,519 1,744,558 872,279 2,616,838 1,308,419 3,925,258 1,962,629 5,887,888 2,943,944 1,471,972 735,986 367,993 1,103,980 551,990 275,995 827,986 413,993 1,241,980 620,990 310,495 931,486 465,743 1,397,230 698,615 2,095,846 1,047,923 3,143,770 1,571,885 4,715,656 2,357,828 1,178,914 589,457 1,768,372 884,186 442,093 1,326,280 663,140 331,570 165,785 497,356 248,678 124,339 373,018 186,509 559,528 279,764 139,882 69,941 209,824 104,912 52,456 26,228 13,114 6,557

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