λ
Harmonic Matrix

4,704,827

4704827
Deficient Odd Prime

4,704,827 has digital root 5. The neighboring primes are 4704823 and 4704829; its proper-divisor sum differs from the starting integer by -4,704,826.

Prime Factor Structure

Factorization String 4704827
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,704,828
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4704823 ← → #4704829

Radix Representation

Decimal 4704827
Binary 10001111100101000111011 (23 bits)
Octal 0o21745073
Hexadecimal 0x47CA3B

Divisor Catalog (2)

Collatz Trajectory (268 steps to reach 1)

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

4,704,827 14,114,482 7,057,241 21,171,724 10,585,862 5,292,931 15,878,794 7,939,397 23,818,192 11,909,096 5,954,548 2,977,274 1,488,637 4,465,912 2,232,956 1,116,478 558,239 1,674,718 837,359 2,512,078 1,256,039 3,768,118 1,884,059 5,652,178 2,826,089 8,478,268 4,239,134 2,119,567 6,358,702 3,179,351 9,538,054 4,769,027 14,307,082 7,153,541 21,460,624 10,730,312 5,365,156 2,682,578 1,341,289 4,023,868 2,011,934 1,005,967 3,017,902 1,508,951 4,526,854 2,263,427 6,790,282 3,395,141 10,185,424 5,092,712 2,546,356 1,273,178 636,589 1,909,768 954,884 477,442 238,721 716,164 358,082 179,041

More profiles

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