λ
Harmonic Matrix

1,301,377

7 × 11 × 16901
Deficient Odd Composite

1,301,377 has digital root 4. The neighboring primes are 1301353 and 1301387; its proper-divisor sum differs from the starting integer by -980,162.

Prime Factor Structure

Factorization String 7 × 11 × 16901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,622,592
Proper Divisor Sum 321,215
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1301353 ← → #1301387

Radix Representation

Decimal 1301377
Binary 100111101101110000001 (21 bits)
Octal 0o4755601
Hexadecimal 0x13DB81

Divisor Catalog (8)

1 7 11 77 16,901 118,307 185,911 1,301,377

Collatz Trajectory (186 steps to reach 1)

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

1,301,377 3,904,132 1,952,066 976,033 2,928,100 1,464,050 732,025 2,196,076 1,098,038 549,019 1,647,058 823,529 2,470,588 1,235,294 617,647 1,852,942 926,471 2,779,414 1,389,707 4,169,122 2,084,561 6,253,684 3,126,842 1,563,421 4,690,264 2,345,132 1,172,566 586,283 1,758,850 879,425 2,638,276 1,319,138 659,569 1,978,708 989,354 494,677 1,484,032 742,016 371,008 185,504 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261

More profiles

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