λ
Harmonic Matrix

3,767,599

11 × 37 × 9257
Deficient Odd Composite

3,767,599 has digital root 1. The neighboring primes are 3767597 and 3767609; its proper-divisor sum differs from the starting integer by -3,313,550.

Prime Factor Structure

Factorization String 11 × 37 × 9257
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,221,648
Proper Divisor Sum 454,049
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #3767597 ← → #3767609

Radix Representation

Decimal 3767599
Binary 1110010111110100101111 (22 bits)
Octal 0o16276457
Hexadecimal 0x397D2F

Divisor Catalog (8)

1 11 37 407 9,257 101,827 342,509 3,767,599

Collatz Trajectory (154 steps to reach 1)

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

3,767,599 11,302,798 5,651,399 16,954,198 8,477,099 25,431,298 12,715,649 38,146,948 19,073,474 9,536,737 28,610,212 14,305,106 7,152,553 21,457,660 10,728,830 5,364,415 16,093,246 8,046,623 24,139,870 12,069,935 36,209,806 18,104,903 54,314,710 27,157,355 81,472,066 40,736,033 122,208,100 61,104,050 30,552,025 91,656,076 45,828,038 22,914,019 68,742,058 34,371,029 103,113,088 51,556,544 25,778,272 12,889,136 6,444,568 3,222,284 1,611,142 805,571 2,416,714 1,208,357 3,625,072 1,812,536 906,268 453,134 226,567 679,702 339,851 1,019,554 509,777 1,529,332 764,666 382,333 1,147,000 573,500 286,750 143,375

More profiles

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