λ
Harmonic Matrix

2,348,757

34 × 107 × 271
Deficient Odd Composite

2,348,757 has digital root 9. The neighboring primes are 2348747 and 2348779; its proper-divisor sum differs from the starting integer by -1,143,018.

Prime Factor Structure

Factorization String 3^4 × 107 × 271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,554,496
Proper Divisor Sum 1,205,739
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2348747 ← → #2348779

Radix Representation

Decimal 2348757
Binary 1000111101011011010101 (22 bits)
Octal 0o10753325
Hexadecimal 0x23D6D5

Divisor Catalog (20)

1 3 9 27 81 107 271 321 813 963 2,439 2,889 7,317 8,667 21,951 28,997 86,991 260,973 782,919 2,348,757

Collatz Trajectory (174 steps to reach 1)

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

2,348,757 7,046,272 3,523,136 1,761,568 880,784 440,392 220,196 110,098 55,049 165,148 82,574 41,287 123,862 61,931 185,794 92,897 278,692 139,346 69,673 209,020 104,510 52,255 156,766 78,383 235,150 117,575 352,726 176,363 529,090 264,545 793,636 396,818 198,409 595,228 297,614 148,807 446,422 223,211 669,634 334,817 1,004,452 502,226 251,113 753,340 376,670 188,335 565,006 282,503 847,510 423,755 1,271,266 635,633 1,906,900 953,450 476,725 1,430,176 715,088 357,544 178,772 89,386

More profiles

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