λ
Sequence Observatory

428,633

428633
Deficient Odd Prime

Starting at 428,633, the Collatz iteration reaches 1 after 125 steps. The first transition is 1285900; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 428633
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 428,634
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #428629 ← → #428639

Radix Representation

Decimal 428633
Binary 1101000101001011001 (19 bits)
Octal 0o1505131
Hexadecimal 0x68A59

Divisor Catalog (2)

Collatz Trajectory (125 steps to reach 1)

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

428,633 1,285,900 642,950 321,475 964,426 482,213 1,446,640 723,320 361,660 180,830 90,415 271,246 135,623 406,870 203,435 610,306 305,153 915,460 457,730 228,865 686,596 343,298 171,649 514,948 257,474 128,737 386,212 193,106 96,553 289,660 144,830 72,415 217,246 108,623 325,870 162,935 488,806 244,403 733,210 366,605 1,099,816 549,908 274,954 137,477 412,432 206,216 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719

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