λ
Sequence Observatory

3,212,013

3 × 7 × 152953
Deficient Odd Composite

Starting at 3,212,013, the Collatz iteration reaches 1 after 94 steps. The first transition is 9636040; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 152953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,894,528
Proper Divisor Sum 1,682,515
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3212009 ← → #3212021

Radix Representation

Decimal 3212013
Binary 1100010000001011101101 (22 bits)
Octal 0o14201355
Hexadecimal 0x3102ED

Divisor Catalog (8)

1 3 7 21 152,953 458,859 1,070,671 3,212,013

Collatz Trajectory (94 steps to reach 1)

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

3,212,013 9,636,040 4,818,020 2,409,010 1,204,505 3,613,516 1,806,758 903,379 2,710,138 1,355,069 4,065,208 2,032,604 1,016,302 508,151 1,524,454 762,227 2,286,682 1,143,341 3,430,024 1,715,012 857,506 428,753 1,286,260 643,130 321,565 964,696 482,348 241,174 120,587 361,762 180,881 542,644 271,322 135,661 406,984 203,492 101,746 50,873 152,620 76,310 38,155 114,466 57,233 171,700 85,850 42,925 128,776 64,388 32,194 16,097 48,292 24,146 12,073 36,220 18,110 9,055 27,166 13,583 40,750 20,375

More profiles

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