λ
Harmonic Matrix

7,571,401

7571401
Deficient Odd Prime

7,571,401 has digital root 7. The neighboring primes are 7571387 and 7571419; its proper-divisor sum differs from the starting integer by -7,571,400.

Prime Factor Structure

Factorization String 7571401
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,571,402
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7571387 ← → #7571419

Radix Representation

Decimal 7571401
Binary 11100111000011111001001 (23 bits)
Octal 0o34703711
Hexadecimal 0x7387C9

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

7,571,401 22,714,204 11,357,102 5,678,551 17,035,654 8,517,827 25,553,482 12,776,741 38,330,224 19,165,112 9,582,556 4,791,278 2,395,639 7,186,918 3,593,459 10,780,378 5,390,189 16,170,568 8,085,284 4,042,642 2,021,321 6,063,964 3,031,982 1,515,991 4,547,974 2,273,987 6,821,962 3,410,981 10,232,944 5,116,472 2,558,236 1,279,118 639,559 1,918,678 959,339 2,878,018 1,439,009 4,317,028 2,158,514 1,079,257 3,237,772 1,618,886 809,443 2,428,330 1,214,165 3,642,496 1,821,248 910,624 455,312 227,656 113,828 56,914 28,457 85,372 42,686 21,343 64,030 32,015 96,046 48,023

More profiles

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