λ
Sequence Observatory

2,745,827

7 × 392261
Deficient Odd Composite

Starting at 2,745,827, the Collatz iteration reaches 1 after 55 steps. The first transition is 8237482; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 392261
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,138,096
Proper Divisor Sum 392,269
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2745797 ← → #2745829

Radix Representation

Decimal 2745827
Binary 1010011110010111100011 (22 bits)
Octal 0o12362743
Hexadecimal 0x29E5E3

Divisor Catalog (4)

1 7 392,261 2,745,827

Collatz Trajectory (55 steps to reach 1)

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

2,745,827 8,237,482 4,118,741 12,356,224 6,178,112 3,089,056 1,544,528 772,264 386,132 193,066 96,533 289,600 144,800 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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