2,622,368

2⁵ × 7 × 23 × 509

Starting at 2,622,368, the Collatz iteration reaches 1 after 187 steps. The first transition is 1311184; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 23 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,168,960

Proper Divisor Sum 3,546,592

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2622353 ← → #2622377

Radix Representation

Decimal	2622368
Binary	1010000000001110100000 (22 bits)
Octal	0o12001640
Hexadecimal	0x2803A0

Divisor Catalog (48)

1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 509 644 736 1,018 1,288 2,036 2,576 3,563 4,072 5,152 7,126 8,144 11,707 14,252 16,288 23,414 28,504 46,828 57,008 81,949 93,656 114,016 163,898 187,312 327,796 374,624 655,592 1,311,184 2,622,368

Collatz Trajectory (187 steps to reach 1)

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

2,622,368 1,311,184 655,592 327,796 163,898 81,949 245,848 122,924 61,462 30,731 92,194 46,097 138,292 69,146 34,573 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780

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