λ
Prime Ledger

694,971

32 × 37 × 2087
Deficient Odd Composite

694,971 has the prime decomposition 3^2 × 37 × 2087. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 37 × 2087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,031,472
Proper Divisor Sum 336,501
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #694957 ← → #694979

Radix Representation

Decimal 694971
Binary 10101001101010111011 (20 bits)
Octal 0o2515273
Hexadecimal 0xA9ABB

Divisor Catalog (12)

1 3 9 37 111 333 2,087 6,261 18,783 77,219 231,657 694,971

Collatz Trajectory (229 steps to reach 1)

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

694,971 2,084,914 1,042,457 3,127,372 1,563,686 781,843 2,345,530 1,172,765 3,518,296 1,759,148 879,574 439,787 1,319,362 659,681 1,979,044 989,522 494,761 1,484,284 742,142 371,071 1,113,214 556,607 1,669,822 834,911 2,504,734 1,252,367 3,757,102 1,878,551 5,635,654 2,817,827 8,453,482 4,226,741 12,680,224 6,340,112 3,170,056 1,585,028 792,514 396,257 1,188,772 594,386 297,193 891,580 445,790 222,895 668,686 334,343 1,003,030 501,515 1,504,546 752,273 2,256,820 1,128,410 564,205 1,692,616 846,308 423,154 211,577 634,732 317,366 158,683

More profiles

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