λ
Sequence Observatory

868,315

5 × 7 × 24809
Deficient Odd Composite

Starting at 868,315, the Collatz iteration reaches 1 after 126 steps. The first transition is 2604946; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 24809
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,190,880
Proper Divisor Sum 322,565
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #868313 ← → #868327

Radix Representation

Decimal 868315
Binary 11010011111111011011 (20 bits)
Octal 0o3237733
Hexadecimal 0xD3FDB

Divisor Catalog (8)

1 5 7 35 24,809 124,045 173,663 868,315

Collatz Trajectory (126 steps to reach 1)

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

868,315 2,604,946 1,302,473 3,907,420 1,953,710 976,855 2,930,566 1,465,283 4,395,850 2,197,925 6,593,776 3,296,888 1,648,444 824,222 412,111 1,236,334 618,167 1,854,502 927,251 2,781,754 1,390,877 4,172,632 2,086,316 1,043,158 521,579 1,564,738 782,369 2,347,108 1,173,554 586,777 1,760,332 880,166 440,083 1,320,250 660,125 1,980,376 990,188 495,094 247,547 742,642 371,321 1,113,964 556,982 278,491 835,474 417,737 1,253,212 626,606 313,303 939,910 469,955 1,409,866 704,933 2,114,800 1,057,400 528,700 264,350 132,175 396,526 198,263

More profiles

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