84,166,342

2 × 13 × 37 × 87491

84,166,342 factors as 2 × 13 × 37 × 87491. Its 16 positive divisors give a proper-divisor sum of 55,470,890, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 87491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 139,637,232

Proper Divisor Sum 55,470,890

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #84166339 ← → #84166373

Radix Representation

Decimal	84166342
Binary	101000001000100011011000110 (27 bits)
Octal	0o501043306
Hexadecimal	0x50446C6

Divisor Catalog (16)

1 2 13 26 37 74 481 962 87,491 174,982 1,137,383 2,274,766 3,237,167 6,474,334 42,083,171 84,166,342

Collatz Trajectory (210 steps to reach 1)

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

84,166,342 42,083,171 126,249,514 63,124,757 189,374,272 94,687,136 47,343,568 23,671,784 11,835,892 5,917,946 2,958,973 8,876,920 4,438,460 2,219,230 1,109,615 3,328,846 1,664,423 4,993,270 2,496,635 7,489,906 3,744,953 11,234,860 5,617,430 2,808,715 8,426,146 4,213,073 12,639,220 6,319,610 3,159,805 9,479,416 4,739,708 2,369,854 1,184,927 3,554,782 1,777,391 5,332,174 2,666,087 7,998,262 3,999,131 11,997,394 5,998,697 17,996,092 8,998,046 4,499,023 13,497,070 6,748,535 20,245,606 10,122,803 30,368,410 15,184,205 45,552,616 22,776,308 11,388,154 5,694,077 17,082,232 8,541,116 4,270,558 2,135,279 6,405,838 3,202,919

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