λ
Harmonic Matrix

1,227,991

41 × 61 × 491
Deficient Odd Composite

1,227,991 has digital root 4. The neighboring primes are 1227983 and 1228001; its proper-divisor sum differs from the starting integer by -1,174,814.

Prime Factor Structure

Factorization String 41 × 61 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,281,168
Proper Divisor Sum 53,177
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1227983 ← → #1228001

Radix Representation

Decimal 1227991
Binary 100101011110011010111 (21 bits)
Octal 0o4536327
Hexadecimal 0x12BCD7

Divisor Catalog (8)

1 41 61 491 2,501 20,131 29,951 1,227,991

Collatz Trajectory (142 steps to reach 1)

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

1,227,991 3,683,974 1,841,987 5,525,962 2,762,981 8,288,944 4,144,472 2,072,236 1,036,118 518,059 1,554,178 777,089 2,331,268 1,165,634 582,817 1,748,452 874,226 437,113 1,311,340 655,670 327,835 983,506 491,753 1,475,260 737,630 368,815 1,106,446 553,223 1,659,670 829,835 2,489,506 1,244,753 3,734,260 1,867,130 933,565 2,800,696 1,400,348 700,174 350,087 1,050,262 525,131 1,575,394 787,697 2,363,092 1,181,546 590,773 1,772,320 886,160 443,080 221,540 110,770 55,385 166,156 83,078 41,539 124,618 62,309 186,928 93,464 46,732

More profiles

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