5,206,380

2² × 3 × 5 × 19 × 4567

Starting at 5,206,380, the Collatz iteration reaches 1 after 250 steps. The first transition is 2603190; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 19 × 4567

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,348,480

Proper Divisor Sum 10,142,100

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5206379 ← → #5206387

Radix Representation

Decimal	5206380
Binary	10011110111000101101100 (23 bits)
Octal	0o23670554
Hexadecimal	0x4F716C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1,140 4,567 9,134 13,701 18,268 22,835 27,402 45,670 54,804 68,505 86,773 91,340 137,010 173,546 260,319 274,020 347,092 433,865 520,638 867,730 1,041,276 1,301,595 1,735,460 2,603,190 5,206,380

Collatz Trajectory (250 steps to reach 1)

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

5,206,380 2,603,190 1,301,595 3,904,786 1,952,393 5,857,180 2,928,590 1,464,295 4,392,886 2,196,443 6,589,330 3,294,665 9,883,996 4,941,998 2,470,999 7,412,998 3,706,499 11,119,498 5,559,749 16,679,248 8,339,624 4,169,812 2,084,906 1,042,453 3,127,360 1,563,680 781,840 390,920 195,460 97,730 48,865 146,596 73,298 36,649 109,948 54,974 27,487 82,462 41,231 123,694 61,847 185,542 92,771 278,314 139,157 417,472 208,736 104,368 52,184 26,092 13,046 6,523 19,570 9,785 29,356 14,678 7,339 22,018 11,009 33,028

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