1,241,289

3² × 7 × 17 × 19 × 61

For 1,241,289, the 48 positive divisors have a total of 2,321,280. Removing 1,241,289 leaves 1,079,991, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 19 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,321,280

Proper Divisor Sum 1,079,991

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1241269 ← → #1241291

Radix Representation

Decimal	1241289
Binary	100101111000011001001 (21 bits)
Octal	0o4570311
Hexadecimal	0x12F0C9

Divisor Catalog (48)

1 3 7 9 17 19 21 51 57 61 63 119 133 153 171 183 323 357 399 427 549 969 1,037 1,071 1,159 1,197 1,281 2,261 2,907 3,111 3,477 3,843 6,783 7,259 8,113 9,333 10,431 19,703 20,349 21,777 24,339 59,109 65,331 73,017 137,921 177,327 413,763 1,241,289

Collatz Trajectory (67 steps to reach 1)

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

1,241,289 3,723,868 1,861,934 930,967 2,792,902 1,396,451 4,189,354 2,094,677 6,284,032 3,142,016 1,571,008 785,504 392,752 196,376 98,188 49,094 24,547 73,642 36,821 110,464 55,232 27,616 13,808 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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