λ
Integer Codex

1,831,945

5 × 31 × 53 × 223
Deficient Odd Composite

For 1,831,945, the 16 positive divisors have a total of 2,322,432. Removing 1,831,945 leaves 490,487, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 31 × 53 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,322,432
Proper Divisor Sum 490,487
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1831939 ← → #1831967

Radix Representation

Decimal 1831945
Binary 110111111010000001001 (21 bits)
Octal 0o6772011
Hexadecimal 0x1BF409

Divisor Catalog (16)

1 5 31 53 155 223 265 1,115 1,643 6,913 8,215 11,819 34,565 59,095 366,389 1,831,945

Collatz Trajectory (109 steps to reach 1)

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

1,831,945 5,495,836 2,747,918 1,373,959 4,121,878 2,060,939 6,182,818 3,091,409 9,274,228 4,637,114 2,318,557 6,955,672 3,477,836 1,738,918 869,459 2,608,378 1,304,189 3,912,568 1,956,284 978,142 489,071 1,467,214 733,607 2,200,822 1,100,411 3,301,234 1,650,617 4,951,852 2,475,926 1,237,963 3,713,890 1,856,945 5,570,836 2,785,418 1,392,709 4,178,128 2,089,064 1,044,532 522,266 261,133 783,400 391,700 195,850 97,925 293,776 146,888 73,444 36,722 18,361 55,084 27,542 13,771 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620

More profiles

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