λ
Harmonic Matrix

4,115,449

13 × 89 × 3557
Deficient Odd Composite

4,115,449 has digital root 1. The neighboring primes are 4115443 and 4115453; its proper-divisor sum differs from the starting integer by -3,747,818.

Prime Factor Structure

Factorization String 13 × 89 × 3557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,483,080
Proper Divisor Sum 367,631
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4115443 ← → #4115453

Radix Representation

Decimal 4115449
Binary 1111101100101111111001 (22 bits)
Octal 0o17545771
Hexadecimal 0x3ECBF9

Divisor Catalog (8)

1 13 89 1,157 3,557 46,241 316,573 4,115,449

Collatz Trajectory (136 steps to reach 1)

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

4,115,449 12,346,348 6,173,174 3,086,587 9,259,762 4,629,881 13,889,644 6,944,822 3,472,411 10,417,234 5,208,617 15,625,852 7,812,926 3,906,463 11,719,390 5,859,695 17,579,086 8,789,543 26,368,630 13,184,315 39,552,946 19,776,473 59,329,420 29,664,710 14,832,355 44,497,066 22,248,533 66,745,600 33,372,800 16,686,400 8,343,200 4,171,600 2,085,800 1,042,900 521,450 260,725 782,176 391,088 195,544 97,772 48,886 24,443 73,330 36,665 109,996 54,998 27,499 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104

More profiles

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