λ
Harmonic Matrix

1,435,408

24 × 13 × 67 × 103
Abundant Even Composite

1,435,408 has digital root 7. The neighboring primes are 1435403 and 1435409; its proper-divisor sum differs from the starting integer by 198,432.

Prime Factor Structure

Factorization String 2^4 × 13 × 67 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,069,248
Proper Divisor Sum 1,633,840
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1435403 ← → #1435409

Radix Representation

Decimal 1435408
Binary 101011110011100010000 (21 bits)
Octal 0o5363420
Hexadecimal 0x15E710

Divisor Catalog (40)

1 2 4 8 13 16 26 52 67 103 104 134 206 208 268 412 536 824 871 1,072 1,339 1,648 1,742 2,678 3,484 5,356 6,901 6,968 10,712 13,802 13,936 21,424 27,604 55,208 89,713 110,416 179,426 358,852 717,704 1,435,408

Collatz Trajectory (106 steps to reach 1)

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

1,435,408 717,704 358,852 179,426 89,713 269,140 134,570 67,285 201,856 100,928 50,464 25,232 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254

More profiles

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