λ
Harmonic Matrix

4,271,401

4271401
Deficient Odd Prime

4,271,401 has digital root 1. The neighboring primes are 4271389 and 4271413; its proper-divisor sum differs from the starting integer by -4,271,400.

Prime Factor Structure

Factorization String 4271401
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,271,402
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4271389 ← → #4271413

Radix Representation

Decimal 4271401
Binary 10000010010110100101001 (23 bits)
Octal 0o20226451
Hexadecimal 0x412D29

Divisor Catalog (2)

Collatz Trajectory (242 steps to reach 1)

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

4,271,401 12,814,204 6,407,102 3,203,551 9,610,654 4,805,327 14,415,982 7,207,991 21,623,974 10,811,987 32,435,962 16,217,981 48,653,944 24,326,972 12,163,486 6,081,743 18,245,230 9,122,615 27,367,846 13,683,923 41,051,770 20,525,885 61,577,656 30,788,828 15,394,414 7,697,207 23,091,622 11,545,811 34,637,434 17,318,717 51,956,152 25,978,076 12,989,038 6,494,519 19,483,558 9,741,779 29,225,338 14,612,669 43,838,008 21,919,004 10,959,502 5,479,751 16,439,254 8,219,627 24,658,882 12,329,441 36,988,324 18,494,162 9,247,081 27,741,244 13,870,622 6,935,311 20,805,934 10,402,967 31,208,902 15,604,451 46,813,354 23,406,677 70,220,032 35,110,016

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