λ
Sequence Observatory

1,124,430

2 × 3 × 5 × 37 × 1013
Abundant Even Composite

Starting at 1,124,430, the Collatz iteration reaches 1 after 134 steps. The first transition is 562215; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37 × 1013
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,774,304
Proper Divisor Sum 1,649,874
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1124429 ← → #1124437

Radix Representation

Decimal 1124430
Binary 100010010100001001110 (21 bits)
Octal 0o4224116
Hexadecimal 0x11284E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1,013 1,110 2,026 3,039 5,065 6,078 10,130 15,195 30,390 37,481 74,962 112,443 187,405 224,886 374,810 562,215 1,124,430

Collatz Trajectory (134 steps to reach 1)

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

1,124,430 562,215 1,686,646 843,323 2,529,970 1,264,985 3,794,956 1,897,478 948,739 2,846,218 1,423,109 4,269,328 2,134,664 1,067,332 533,666 266,833 800,500 400,250 200,125 600,376 300,188 150,094 75,047 225,142 112,571 337,714 168,857 506,572 253,286 126,643 379,930 189,965 569,896 284,948 142,474 71,237 213,712 106,856 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190

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