λ
Prime Ledger

8,272,942

2 × 19 × 43 × 61 × 83
Deficient Even Composite

8,272,942 has the prime decomposition 2 × 19 × 43 × 61 × 83. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 43 × 61 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,749,120
Proper Divisor Sum 5,476,178
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8272937 ← → #8272949

Radix Representation

Decimal 8272942
Binary 11111100011110000101110 (23 bits)
Octal 0o37436056
Hexadecimal 0x7E3C2E

Divisor Catalog (32)

1 2 19 38 43 61 83 86 122 166 817 1,159 1,577 1,634 2,318 2,623 3,154 3,569 5,063 5,246 7,138 10,126 49,837 67,811 96,197 99,674 135,622 192,394 217,709 435,418 4,136,471 8,272,942

Collatz Trajectory (168 steps to reach 1)

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

8,272,942 4,136,471 12,409,414 6,204,707 18,614,122 9,307,061 27,921,184 13,960,592 6,980,296 3,490,148 1,745,074 872,537 2,617,612 1,308,806 654,403 1,963,210 981,605 2,944,816 1,472,408 736,204 368,102 184,051 552,154 276,077 828,232 414,116 207,058 103,529 310,588 155,294 77,647 232,942 116,471 349,414 174,707 524,122 262,061 786,184 393,092 196,546 98,273 294,820 147,410 73,705 221,116 110,558 55,279 165,838 82,919 248,758 124,379 373,138 186,569 559,708 279,854 139,927 419,782 209,891 629,674 314,837

More profiles

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