λ
Harmonic Matrix

6,407,247

3 × 7 × 11 × 27737
Deficient Odd Composite

6,407,247 has digital root 3. The neighboring primes are 6407239 and 6407251; its proper-divisor sum differs from the starting integer by -2,163,102.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 27737
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,651,392
Proper Divisor Sum 4,244,145
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6407239 ← → #6407251

Radix Representation

Decimal 6407247
Binary 11000011100010001001111 (23 bits)
Octal 0o30342117
Hexadecimal 0x61C44F

Divisor Catalog (16)

1 3 7 11 21 33 77 231 27,737 83,211 194,159 305,107 582,477 915,321 2,135,749 6,407,247

Collatz Trajectory (95 steps to reach 1)

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

6,407,247 19,221,742 9,610,871 28,832,614 14,416,307 43,248,922 21,624,461 64,873,384 32,436,692 16,218,346 8,109,173 24,327,520 12,163,760 6,081,880 3,040,940 1,520,470 760,235 2,280,706 1,140,353 3,421,060 1,710,530 855,265 2,565,796 1,282,898 641,449 1,924,348 962,174 481,087 1,443,262 721,631 2,164,894 1,082,447 3,247,342 1,623,671 4,871,014 2,435,507 7,306,522 3,653,261 10,959,784 5,479,892 2,739,946 1,369,973 4,109,920 2,054,960 1,027,480 513,740 256,870 128,435 385,306 192,653 577,960 288,980 144,490 72,245 216,736 108,368 54,184 27,092 13,546 6,773

More profiles

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