λ
Harmonic Matrix

3,501,127

7 × 53 × 9437
Deficient Odd Composite

3,501,127 has digital root 1. The neighboring primes are 3501107 and 3501137; its proper-divisor sum differs from the starting integer by -2,925,038.

Prime Factor Structure

Factorization String 7 × 53 × 9437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,077,216
Proper Divisor Sum 576,089
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3501107 ← → #3501137

Radix Representation

Decimal 3501127
Binary 1101010110110001000111 (22 bits)
Octal 0o15266107
Hexadecimal 0x356C47

Divisor Catalog (8)

1 7 53 371 9,437 66,059 500,161 3,501,127

Collatz Trajectory (203 steps to reach 1)

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

3,501,127 10,503,382 5,251,691 15,755,074 7,877,537 23,632,612 11,816,306 5,908,153 17,724,460 8,862,230 4,431,115 13,293,346 6,646,673 19,940,020 9,970,010 4,985,005 14,955,016 7,477,508 3,738,754 1,869,377 5,608,132 2,804,066 1,402,033 4,206,100 2,103,050 1,051,525 3,154,576 1,577,288 788,644 394,322 197,161 591,484 295,742 147,871 443,614 221,807 665,422 332,711 998,134 499,067 1,497,202 748,601 2,245,804 1,122,902 561,451 1,684,354 842,177 2,526,532 1,263,266 631,633 1,894,900 947,450 473,725 1,421,176 710,588 355,294 177,647 532,942 266,471 799,414

More profiles

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