λ
Harmonic Matrix

1,510,384

24 × 94399
Deficient Even Composite

1,510,384 has digital root 4. The neighboring primes are 1510373 and 1510391; its proper-divisor sum differs from the starting integer by -94,368.

Prime Factor Structure

Factorization String 2^4 × 94399
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 2,926,400
Proper Divisor Sum 1,416,016
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1510373 ← → #1510391

Radix Representation

Decimal 1510384
Binary 101110000101111110000 (21 bits)
Octal 0o5605760
Hexadecimal 0x170BF0

Divisor Catalog (10)

1 2 4 8 16 94,399 188,798 377,596 755,192 1,510,384

Collatz Trajectory (181 steps to reach 1)

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

1,510,384 755,192 377,596 188,798 94,399 283,198 141,599 424,798 212,399 637,198 318,599 955,798 477,899 1,433,698 716,849 2,150,548 1,075,274 537,637 1,612,912 806,456 403,228 201,614 100,807 302,422 151,211 453,634 226,817 680,452 340,226 170,113 510,340 255,170 127,585 382,756 191,378 95,689 287,068 143,534 71,767 215,302 107,651 322,954 161,477 484,432 242,216 121,108 60,554 30,277 90,832 45,416 22,708 11,354 5,677 17,032 8,516 4,258 2,129 6,388 3,194 1,597

More profiles

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