λ
Harmonic Matrix

1,241,077

1241077
Deficient Odd Prime

1,241,077 has digital root 4. The neighboring primes are 1241059 and 1241081; its proper-divisor sum differs from the starting integer by -1,241,076.

Prime Factor Structure

Factorization String 1241077
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,241,078
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1241059 ← → #1241081

Radix Representation

Decimal 1241077
Binary 100101110111111110101 (21 bits)
Octal 0o4567765
Hexadecimal 0x12EFF5

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

1,241,077 3,723,232 1,861,616 930,808 465,404 232,702 116,351 349,054 174,527 523,582 261,791 785,374 392,687 1,178,062 589,031 1,767,094 883,547 2,650,642 1,325,321 3,975,964 1,987,982 993,991 2,981,974 1,490,987 4,472,962 2,236,481 6,709,444 3,354,722 1,677,361 5,032,084 2,516,042 1,258,021 3,774,064 1,887,032 943,516 471,758 235,879 707,638 353,819 1,061,458 530,729 1,592,188 796,094 398,047 1,194,142 597,071 1,791,214 895,607 2,686,822 1,343,411 4,030,234 2,015,117 6,045,352 3,022,676 1,511,338 755,669 2,267,008 1,133,504 566,752 283,376

More profiles

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