λ
Harmonic Matrix

6,767,725

52 × 270709
Deficient Odd Composite

6,767,725 has digital root 4. The neighboring primes are 6767689 and 6767731; its proper-divisor sum differs from the starting integer by -5,143,440.

Prime Factor Structure

Factorization String 5^2 × 270709
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,392,010
Proper Divisor Sum 1,624,285
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6767689 ← → #6767731

Radix Representation

Decimal 6767725
Binary 11001110100010001101101 (23 bits)
Octal 0o31642155
Hexadecimal 0x67446D

Divisor Catalog (6)

1 5 25 270,709 1,353,545 6,767,725

Collatz Trajectory (134 steps to reach 1)

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

6,767,725 20,303,176 10,151,588 5,075,794 2,537,897 7,613,692 3,806,846 1,903,423 5,710,270 2,855,135 8,565,406 4,282,703 12,848,110 6,424,055 19,272,166 9,636,083 28,908,250 14,454,125 43,362,376 21,681,188 10,840,594 5,420,297 16,260,892 8,130,446 4,065,223 12,195,670 6,097,835 18,293,506 9,146,753 27,440,260 13,720,130 6,860,065 20,580,196 10,290,098 5,145,049 15,435,148 7,717,574 3,858,787 11,576,362 5,788,181 17,364,544 8,682,272 4,341,136 2,170,568 1,085,284 542,642 271,321 813,964 406,982 203,491 610,474 305,237 915,712 457,856 228,928 114,464 57,232 28,616 14,308 7,154

More profiles

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