λ
Sequence Observatory

3,021,001

3021001
Deficient Odd Prime

Starting at 3,021,001, the Collatz iteration reaches 1 after 133 steps. The first transition is 9063004; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3021001
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,021,002
Proper Divisor Sum 1
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #3020999 ← → #3021059

Radix Representation

Decimal 3021001
Binary 1011100001100011001001 (22 bits)
Octal 0o13414311
Hexadecimal 0x2E18C9

Divisor Catalog (2)

Collatz Trajectory (133 steps to reach 1)

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

3,021,001 9,063,004 4,531,502 2,265,751 6,797,254 3,398,627 10,195,882 5,097,941 15,293,824 7,646,912 3,823,456 1,911,728 955,864 477,932 238,966 119,483 358,450 179,225 537,676 268,838 134,419 403,258 201,629 604,888 302,444 151,222 75,611 226,834 113,417 340,252 170,126 85,063 255,190 127,595 382,786 191,393 574,180 287,090 143,545 430,636 215,318 107,659 322,978 161,489 484,468 242,234 121,117 363,352 181,676 90,838 45,419 136,258 68,129 204,388 102,194 51,097 153,292 76,646 38,323 114,970

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