λ
Harmonic Matrix

1,335,299

73 × 17 × 229
Deficient Odd Composite

1,335,299 has digital root 5. The neighboring primes are 1335289 and 1335319; its proper-divisor sum differs from the starting integer by -1,014,598.

Prime Factor Structure

Factorization String 7^3 × 17 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,656,000
Proper Divisor Sum 320,701
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1335289 ← → #1335319

Radix Representation

Decimal 1335299
Binary 101000110000000000011 (21 bits)
Octal 0o5060003
Hexadecimal 0x146003

Divisor Catalog (16)

1 7 17 49 119 229 343 833 1,603 3,893 5,831 11,221 27,251 78,547 190,757 1,335,299

Collatz Trajectory (155 steps to reach 1)

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

1,335,299 4,005,898 2,002,949 6,008,848 3,004,424 1,502,212 751,106 375,553 1,126,660 563,330 281,665 844,996 422,498 211,249 633,748 316,874 158,437 475,312 237,656 118,828 59,414 29,707 89,122 44,561 133,684 66,842 33,421 100,264 50,132 25,066 12,533 37,600 18,800 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

More profiles

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