λ
Sequence Observatory

9,242,740

22 × 5 × 13 × 19 × 1871
Abundant Even Composite

Starting at 9,242,740, the Collatz iteration reaches 1 after 194 steps. The first transition is 4621370; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 19 × 1871
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,014,720
Proper Divisor Sum 12,771,980
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9242731 ← → #9242741

Radix Representation

Decimal 9242740
Binary 100011010000100001110100 (24 bits)
Octal 0o43204164
Hexadecimal 0x8D0874

Divisor Catalog (48)

1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1,235 1,871 2,470 3,742 4,940 7,484 9,355 18,710 24,323 35,549 37,420 48,646 71,098 97,292 121,615 142,196 177,745 243,230 355,490 462,137 486,460 710,980 924,274 1,848,548 2,310,685 4,621,370 9,242,740

Collatz Trajectory (194 steps to reach 1)

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

9,242,740 4,621,370 2,310,685 6,932,056 3,466,028 1,733,014 866,507 2,599,522 1,299,761 3,899,284 1,949,642 974,821 2,924,464 1,462,232 731,116 365,558 182,779 548,338 274,169 822,508 411,254 205,627 616,882 308,441 925,324 462,662 231,331 693,994 346,997 1,040,992 520,496 260,248 130,124 65,062 32,531 97,594 48,797 146,392 73,196 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630

More profiles

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