λ
Sequence Observatory

6,209,340

22 × 3 × 5 × 37 × 2797
Abundant Even Composite

Starting at 6,209,340, the Collatz iteration reaches 1 after 134 steps. The first transition is 3104670; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 37 × 2797
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,862,432
Proper Divisor Sum 11,653,092
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6209309 ← → #6209341

Radix Representation

Decimal 6209340
Binary 10111101011111100111100 (23 bits)
Octal 0o27537474
Hexadecimal 0x5EBF3C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1,110 2,220 2,797 5,594 8,391 11,188 13,985 16,782 27,970 33,564 41,955 55,940 83,910 103,489 167,820 206,978 310,467 413,956 517,445 620,934 1,034,890 1,241,868 1,552,335 2,069,780 3,104,670 6,209,340

Collatz Trajectory (134 steps to reach 1)

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

6,209,340 3,104,670 1,552,335 4,657,006 2,328,503 6,985,510 3,492,755 10,478,266 5,239,133 15,717,400 7,858,700 3,929,350 1,964,675 5,894,026 2,947,013 8,841,040 4,420,520 2,210,260 1,105,130 552,565 1,657,696 828,848 414,424 207,212 103,606 51,803 155,410 77,705 233,116 116,558 58,279 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564 221,282 110,641 331,924 165,962 82,981 248,944 124,472 62,236 31,118 15,559 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772 39,386

More profiles

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