λ
Harmonic Matrix

9,725,347

9725347
Deficient Odd Prime

9,725,347 has digital root 1. The neighboring primes are 9725327 and 9725357; its proper-divisor sum differs from the starting integer by -9,725,346.

Prime Factor Structure

Factorization String 9725347
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,725,348
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9725327 ← → #9725357

Radix Representation

Decimal 9725347
Binary 100101000110010110100011 (24 bits)
Octal 0o45062643
Hexadecimal 0x9465A3

Divisor Catalog (2)

1 9,725,347

Collatz Trajectory (114 steps to reach 1)

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

9,725,347 29,176,042 14,588,021 43,764,064 21,882,032 10,941,016 5,470,508 2,735,254 1,367,627 4,102,882 2,051,441 6,154,324 3,077,162 1,538,581 4,615,744 2,307,872 1,153,936 576,968 288,484 144,242 72,121 216,364 108,182 54,091 162,274 81,137 243,412 121,706 60,853 182,560 91,280 45,640 22,820 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

More profiles

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