λ
Sequence Observatory

4,277,978

2 × 2138989
Deficient Even Composite

Starting at 4,277,978, the Collatz iteration reaches 1 after 123 steps. The first transition is 2138989; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 2138989
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,416,970
Proper Divisor Sum 2,138,992
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4277971 ← → #4277989

Radix Representation

Decimal 4277978
Binary 10000010100011011011010 (23 bits)
Octal 0o20243332
Hexadecimal 0x4146DA

Divisor Catalog (4)

1 2 2,138,989 4,277,978

Collatz Trajectory (123 steps to reach 1)

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

4,277,978 2,138,989 6,416,968 3,208,484 1,604,242 802,121 2,406,364 1,203,182 601,591 1,804,774 902,387 2,707,162 1,353,581 4,060,744 2,030,372 1,015,186 507,593 1,522,780 761,390 380,695 1,142,086 571,043 1,713,130 856,565 2,569,696 1,284,848 642,424 321,212 160,606 80,303 240,910 120,455 361,366 180,683 542,050 271,025 813,076 406,538 203,269 609,808 304,904 152,452 76,226 38,113 114,340 57,170 28,585 85,756 42,878 21,439 64,318 32,159 96,478 48,239 144,718 72,359 217,078 108,539 325,618 162,809

More profiles

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