λ
Sequence Observatory

970,813

970813
Deficient Odd Prime

Starting at 970,813, the Collatz iteration reaches 1 after 170 steps. The first transition is 2912440; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 970813
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 970,814
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #970799 ← → #970817

Radix Representation

Decimal 970813
Binary 11101101000000111101 (20 bits)
Octal 0o3550075
Hexadecimal 0xED03D

Divisor Catalog (2)

Collatz Trajectory (170 steps to reach 1)

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

970,813 2,912,440 1,456,220 728,110 364,055 1,092,166 546,083 1,638,250 819,125 2,457,376 1,228,688 614,344 307,172 153,586 76,793 230,380 115,190 57,595 172,786 86,393 259,180 129,590 64,795 194,386 97,193 291,580 145,790 72,895 218,686 109,343 328,030 164,015 492,046 246,023 738,070 369,035 1,107,106 553,553 1,660,660 830,330 415,165 1,245,496 622,748 311,374 155,687 467,062 233,531 700,594 350,297 1,050,892 525,446 262,723 788,170 394,085 1,182,256 591,128 295,564 147,782 73,891 221,674

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