8,211,570

2 × 3 × 5 × 273719

Starting at 8,211,570, the Collatz iteration reaches 1 after 111 steps. The first transition is 4105785; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 273719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,707,840

Proper Divisor Sum 11,496,270

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8211563 ← → #8211583

Radix Representation

Decimal	8211570
Binary	11111010100110001110010 (23 bits)
Octal	0o37246162
Hexadecimal	0x7D4C72

Divisor Catalog (16)

1 2 3 5 6 10 15 30 273,719 547,438 821,157 1,368,595 1,642,314 2,737,190 4,105,785 8,211,570

Collatz Trajectory (111 steps to reach 1)

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

8,211,570 4,105,785 12,317,356 6,158,678 3,079,339 9,238,018 4,619,009 13,857,028 6,928,514 3,464,257 10,392,772 5,196,386 2,598,193 7,794,580 3,897,290 1,948,645 5,845,936 2,922,968 1,461,484 730,742 365,371 1,096,114 548,057 1,644,172 822,086 411,043 1,233,130 616,565 1,849,696 924,848 462,424 231,212 115,606 57,803 173,410 86,705 260,116 130,058 65,029 195,088 97,544 48,772 24,386 12,193 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447

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