λ
Sequence Observatory

1,230,848

211 × 601
Abundant Even Composite

Starting at 1,230,848, the Collatz iteration reaches 1 after 67 steps. The first transition is 615424; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^11 × 601
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,465,190
Proper Divisor Sum 1,234,342
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1230829 ← → #1230863

Radix Representation

Decimal 1230848
Binary 100101100100000000000 (21 bits)
Octal 0o4544000
Hexadecimal 0x12C800

Divisor Catalog (24)

1 2 4 8 16 32 64 128 256 512 601 1,024 1,202 2,048 2,404 4,808 9,616 19,232 38,464 76,928 153,856 307,712 615,424 1,230,848

Collatz Trajectory (67 steps to reach 1)

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

1,230,848 615,424 307,712 153,856 76,928 38,464 19,232 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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