λ
Harmonic Matrix

872,429

872429
Deficient Odd Prime

872,429 has digital root 5. The neighboring primes are 872419 and 872437; its proper-divisor sum differs from the starting integer by -872,428.

Prime Factor Structure

Factorization String 872429
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 872,430
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #872419 ← → #872437

Radix Representation

Decimal 872429
Binary 11010100111111101101 (20 bits)
Octal 0o3247755
Hexadecimal 0xD4FED

Divisor Catalog (2)

Collatz Trajectory (188 steps to reach 1)

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

872,429 2,617,288 1,308,644 654,322 327,161 981,484 490,742 245,371 736,114 368,057 1,104,172 552,086 276,043 828,130 414,065 1,242,196 621,098 310,549 931,648 465,824 232,912 116,456 58,228 29,114 14,557 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215

More profiles

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