λ
Prime Ledger

8,121,067

8121067
Deficient Odd Prime

8,121,067 has the prime decomposition 8121067. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 8121067
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,121,068
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8121059 ← → #8121079

Radix Representation

Decimal 8121067
Binary 11110111110101011101011 (23 bits)
Octal 0o36765353
Hexadecimal 0x7BEAEB

Divisor Catalog (2)

Collatz Trajectory (292 steps to reach 1)

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

8,121,067 24,363,202 12,181,601 36,544,804 18,272,402 9,136,201 27,408,604 13,704,302 6,852,151 20,556,454 10,278,227 30,834,682 15,417,341 46,252,024 23,126,012 11,563,006 5,781,503 17,344,510 8,672,255 26,016,766 13,008,383 39,025,150 19,512,575 58,537,726 29,268,863 87,806,590 43,903,295 131,709,886 65,854,943 197,564,830 98,782,415 296,347,246 148,173,623 444,520,870 222,260,435 666,781,306 333,390,653 1,000,171,960 500,085,980 250,042,990 125,021,495 375,064,486 187,532,243 562,596,730 281,298,365 843,895,096 421,947,548 210,973,774 105,486,887 316,460,662 158,230,331 474,690,994 237,345,497 712,036,492 356,018,246 178,009,123 534,027,370 267,013,685 801,041,056 400,520,528

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