λ
Sequence Observatory

4,572,621

32 × 61 × 8329
Deficient Odd Composite

Starting at 4,572,621, the Collatz iteration reaches 1 after 79 steps. The first transition is 13717864; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 61 × 8329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,713,980
Proper Divisor Sum 2,141,359
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4572619 ← → #4572629

Radix Representation

Decimal 4572621
Binary 10001011100010111001101 (23 bits)
Octal 0o21342715
Hexadecimal 0x45C5CD

Divisor Catalog (12)

1 3 9 61 183 549 8,329 24,987 74,961 508,069 1,524,207 4,572,621

Collatz Trajectory (79 steps to reach 1)

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

4,572,621 13,717,864 6,858,932 3,429,466 1,714,733 5,144,200 2,572,100 1,286,050 643,025 1,929,076 964,538 482,269 1,446,808 723,404 361,702 180,851 542,554 271,277 813,832 406,916 203,458 101,729 305,188 152,594 76,297 228,892 114,446 57,223 171,670 85,835 257,506 128,753 386,260 193,130 96,565 289,696 144,848 72,424 36,212 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840

More profiles

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