λ
Harmonic Matrix

1,375,307

1375307
Deficient Odd Prime

1,375,307 has digital root 8. The neighboring primes are 1375303 and 1375313; its proper-divisor sum differs from the starting integer by -1,375,306.

Prime Factor Structure

Factorization String 1375307
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,375,308
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1375303 ← → #1375313

Radix Representation

Decimal 1375307
Binary 101001111110001001011 (21 bits)
Octal 0o5176113
Hexadecimal 0x14FC4B

Divisor Catalog (2)

Collatz Trajectory (93 steps to reach 1)

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

1,375,307 4,125,922 2,062,961 6,188,884 3,094,442 1,547,221 4,641,664 2,320,832 1,160,416 580,208 290,104 145,052 72,526 36,263 108,790 54,395 163,186 81,593 244,780 122,390 61,195 183,586 91,793 275,380 137,690 68,845 206,536 103,268 51,634 25,817 77,452 38,726 19,363 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746

More profiles

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