λ
Sequence Observatory

4,047,970

2 × 5 × 563 × 719
Deficient Even Composite

Starting at 4,047,970, the Collatz iteration reaches 1 after 167 steps. The first transition is 2023985; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 563 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,309,440
Proper Divisor Sum 3,261,470
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4047961 ← → #4047973

Radix Representation

Decimal 4047970
Binary 1111011100010001100010 (22 bits)
Octal 0o17342142
Hexadecimal 0x3DC462

Divisor Catalog (16)

1 2 5 10 563 719 1,126 1,438 2,815 3,595 5,630 7,190 404,797 809,594 2,023,985 4,047,970

Collatz Trajectory (167 steps to reach 1)

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

4,047,970 2,023,985 6,071,956 3,035,978 1,517,989 4,553,968 2,276,984 1,138,492 569,246 284,623 853,870 426,935 1,280,806 640,403 1,921,210 960,605 2,881,816 1,440,908 720,454 360,227 1,080,682 540,341 1,621,024 810,512 405,256 202,628 101,314 50,657 151,972 75,986 37,993 113,980 56,990 28,495 85,486 42,743 128,230 64,115 192,346 96,173 288,520 144,260 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061

More profiles

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