5,622,732

2² × 3² × 313 × 499

Starting at 5,622,732, the Collatz iteration reaches 1 after 338 steps. The first transition is 2811366; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 313 × 499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,287,000

Proper Divisor Sum 8,664,268

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5622731 ← → #5622761

Radix Representation

Decimal	5622732
Binary	10101011100101111001100 (23 bits)
Octal	0o25345714
Hexadecimal	0x55CBCC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 313 499 626 939 998 1,252 1,497 1,878 1,996 2,817 2,994 3,756 4,491 5,634 5,988 8,982 11,268 17,964 156,187 312,374 468,561 624,748 937,122 1,405,683 1,874,244 2,811,366 5,622,732

Collatz Trajectory (338 steps to reach 1)

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

5,622,732 2,811,366 1,405,683 4,217,050 2,108,525 6,325,576 3,162,788 1,581,394 790,697 2,372,092 1,186,046 593,023 1,779,070 889,535 2,668,606 1,334,303 4,002,910 2,001,455 6,004,366 3,002,183 9,006,550 4,503,275 13,509,826 6,754,913 20,264,740 10,132,370 5,066,185 15,198,556 7,599,278 3,799,639 11,398,918 5,699,459 17,098,378 8,549,189 25,647,568 12,823,784 6,411,892 3,205,946 1,602,973 4,808,920 2,404,460 1,202,230 601,115 1,803,346 901,673 2,705,020 1,352,510 676,255 2,028,766 1,014,383 3,043,150 1,521,575 4,564,726 2,282,363 6,847,090 3,423,545 10,270,636 5,135,318 2,567,659 7,702,978

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