λ
Harmonic Matrix

3,358,927

11 × 13 × 83 × 283
Deficient Odd Composite

3,358,927 has digital root 1. The neighboring primes are 3358913 and 3358937; its proper-divisor sum differs from the starting integer by -2,710,046.

Prime Factor Structure

Factorization String 11 × 13 × 83 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,007,808
Proper Divisor Sum 648,881
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3358913 ← → #3358937

Radix Representation

Decimal 3358927
Binary 1100110100000011001111 (22 bits)
Octal 0o14640317
Hexadecimal 0x3340CF

Divisor Catalog (16)

1 11 13 83 143 283 913 1,079 3,113 3,679 11,869 23,489 40,469 258,379 305,357 3,358,927

Collatz Trajectory (159 steps to reach 1)

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

3,358,927 10,076,782 5,038,391 15,115,174 7,557,587 22,672,762 11,336,381 34,009,144 17,004,572 8,502,286 4,251,143 12,753,430 6,376,715 19,130,146 9,565,073 28,695,220 14,347,610 7,173,805 21,521,416 10,760,708 5,380,354 2,690,177 8,070,532 4,035,266 2,017,633 6,052,900 3,026,450 1,513,225 4,539,676 2,269,838 1,134,919 3,404,758 1,702,379 5,107,138 2,553,569 7,660,708 3,830,354 1,915,177 5,745,532 2,872,766 1,436,383 4,309,150 2,154,575 6,463,726 3,231,863 9,695,590 4,847,795 14,543,386 7,271,693 21,815,080 10,907,540 5,453,770 2,726,885 8,180,656 4,090,328 2,045,164 1,022,582 511,291 1,533,874 766,937

More profiles

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