λ
Harmonic Matrix

2,365,703

17 × 31 × 672
Deficient Odd Composite

2,365,703 has digital root 8. The neighboring primes are 2365681 and 2365721; its proper-divisor sum differs from the starting integer by -2,106,574.

Prime Factor Structure

Factorization String 17 × 31 × 67^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,624,832
Proper Divisor Sum 259,129
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2365681 ← → #2365721

Radix Representation

Decimal 2365703
Binary 1001000001100100000111 (22 bits)
Octal 0o11014407
Hexadecimal 0x241907

Divisor Catalog (12)

1 17 31 67 527 1,139 2,077 4,489 35,309 76,313 139,159 2,365,703

Collatz Trajectory (99 steps to reach 1)

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

2,365,703 7,097,110 3,548,555 10,645,666 5,322,833 15,968,500 7,984,250 3,992,125 11,976,376 5,988,188 2,994,094 1,497,047 4,491,142 2,245,571 6,736,714 3,368,357 10,105,072 5,052,536 2,526,268 1,263,134 631,567 1,894,702 947,351 2,842,054 1,421,027 4,263,082 2,131,541 6,394,624 3,197,312 1,598,656 799,328 399,664 199,832 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418

More profiles

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