λ
Harmonic Matrix

1,203,255

34 × 5 × 2971
Deficient Odd Composite

1,203,255 has digital root 9. The neighboring primes are 1203233 and 1203263; its proper-divisor sum differs from the starting integer by -248,838.

Prime Factor Structure

Factorization String 3^4 × 5 × 2971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,157,672
Proper Divisor Sum 954,417
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1203233 ← → #1203263

Radix Representation

Decimal 1203255
Binary 100100101110000110111 (21 bits)
Octal 0o4456067
Hexadecimal 0x125C37

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 2,971 8,913 14,855 26,739 44,565 80,217 133,695 240,651 401,085 1,203,255

Collatz Trajectory (116 steps to reach 1)

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

1,203,255 3,609,766 1,804,883 5,414,650 2,707,325 8,121,976 4,060,988 2,030,494 1,015,247 3,045,742 1,522,871 4,568,614 2,284,307 6,852,922 3,426,461 10,279,384 5,139,692 2,569,846 1,284,923 3,854,770 1,927,385 5,782,156 2,891,078 1,445,539 4,336,618 2,168,309 6,504,928 3,252,464 1,626,232 813,116 406,558 203,279 609,838 304,919 914,758 457,379 1,372,138 686,069 2,058,208 1,029,104 514,552 257,276 128,638 64,319 192,958 96,479 289,438 144,719 434,158 217,079 651,238 325,619 976,858 488,429 1,465,288 732,644 366,322 183,161 549,484 274,742

More profiles

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