λ
Sequence Observatory

146,513

146513
Deficient Odd Prime

Starting at 146,513, the Collatz iteration reaches 1 after 69 steps. The first transition is 439540; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 146513
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 146,514
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #146477 ← → #146519

Radix Representation

Decimal 146513
Binary 100011110001010001 (18 bits)
Octal 0o436121
Hexadecimal 0x23C51

Divisor Catalog (2)

Collatz Trajectory (69 steps to reach 1)

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

146,513 439,540 219,770 109,885 329,656 164,828 82,414 41,207 123,622 61,811 185,434 92,717 278,152 139,076 69,538 34,769 104,308 52,154 26,077 78,232 39,116 19,558 9,779 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160

More profiles

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