λ
Sequence Observatory

6,573,531

3 × 37 × 59221
Deficient Odd Composite

Starting at 6,573,531, the Collatz iteration reaches 1 after 90 steps. The first transition is 19720594; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 59221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,001,744
Proper Divisor Sum 2,428,213
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6573529 ← → #6573533

Radix Representation

Decimal 6573531
Binary 11001000100110111011011 (23 bits)
Octal 0o31046733
Hexadecimal 0x644DDB

Divisor Catalog (8)

1 3 37 111 59,221 177,663 2,191,177 6,573,531

Collatz Trajectory (90 steps to reach 1)

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

6,573,531 19,720,594 9,860,297 29,580,892 14,790,446 7,395,223 22,185,670 11,092,835 33,278,506 16,639,253 49,917,760 24,958,880 12,479,440 6,239,720 3,119,860 1,559,930 779,965 2,339,896 1,169,948 584,974 292,487 877,462 438,731 1,316,194 658,097 1,974,292 987,146 493,573 1,480,720 740,360 370,180 185,090 92,545 277,636 138,818 69,409 208,228 104,114 52,057 156,172 78,086 39,043 117,130 58,565 175,696 87,848 43,924 21,962 10,981 32,944 16,472 8,236 4,118 2,059 6,178 3,089 9,268 4,634 2,317 6,952

More profiles

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