λ
Prime Ledger

2,952,623

67 × 127 × 347
Deficient Odd Composite

2,952,623 has the prime decomposition 67 × 127 × 347. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 67 × 127 × 347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,028,992
Proper Divisor Sum 76,369
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2952617 ← → #2952629

Radix Representation

Decimal 2952623
Binary 1011010000110110101111 (22 bits)
Octal 0o13206657
Hexadecimal 0x2D0DAF

Divisor Catalog (8)

1 67 127 347 8,509 23,249 44,069 2,952,623

Collatz Trajectory (143 steps to reach 1)

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

2,952,623 8,857,870 4,428,935 13,286,806 6,643,403 19,930,210 9,965,105 29,895,316 14,947,658 7,473,829 22,421,488 11,210,744 5,605,372 2,802,686 1,401,343 4,204,030 2,102,015 6,306,046 3,153,023 9,459,070 4,729,535 14,188,606 7,094,303 21,282,910 10,641,455 31,924,366 15,962,183 47,886,550 23,943,275 71,829,826 35,914,913 107,744,740 53,872,370 26,936,185 80,808,556 40,404,278 20,202,139 60,606,418 30,303,209 90,909,628 45,454,814 22,727,407 68,182,222 34,091,111 102,273,334 51,136,667 153,410,002 76,705,001 230,115,004 115,057,502 57,528,751 172,586,254 86,293,127 258,879,382 129,439,691 388,319,074 194,159,537 582,478,612 291,239,306 145,619,653

More profiles

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