λ
Harmonic Matrix

3,772,495

5 × 821 × 919
Deficient Odd Composite

3,772,495 has digital root 1. The neighboring primes are 3772493 and 3772537; its proper-divisor sum differs from the starting integer by -3,007,550.

Prime Factor Structure

Factorization String 5 × 821 × 919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,537,440
Proper Divisor Sum 764,945
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3772493 ← → #3772537

Radix Representation

Decimal 3772495
Binary 1110011001000001001111 (22 bits)
Octal 0o16310117
Hexadecimal 0x39904F

Divisor Catalog (8)

1 5 821 919 4,105 4,595 754,499 3,772,495

Collatz Trajectory (203 steps to reach 1)

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

3,772,495 11,317,486 5,658,743 16,976,230 8,488,115 25,464,346 12,732,173 38,196,520 19,098,260 9,549,130 4,774,565 14,323,696 7,161,848 3,580,924 1,790,462 895,231 2,685,694 1,342,847 4,028,542 2,014,271 6,042,814 3,021,407 9,064,222 4,532,111 13,596,334 6,798,167 20,394,502 10,197,251 30,591,754 15,295,877 45,887,632 22,943,816 11,471,908 5,735,954 2,867,977 8,603,932 4,301,966 2,150,983 6,452,950 3,226,475 9,679,426 4,839,713 14,519,140 7,259,570 3,629,785 10,889,356 5,444,678 2,722,339 8,167,018 4,083,509 12,250,528 6,125,264 3,062,632 1,531,316 765,658 382,829 1,148,488 574,244 287,122 143,561

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