λ
Harmonic Matrix

7,491,340

22 × 5 × 463 × 809
Abundant Even Composite

7,491,340 has digital root 1. The neighboring primes are 7491313 and 7491343; its proper-divisor sum differs from the starting integer by 802,600.

Prime Factor Structure

Factorization String 2^2 × 5 × 463 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,785,280
Proper Divisor Sum 8,293,940
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7491313 ← → #7491343

Radix Representation

Decimal 7491340
Binary 11100100100111100001100 (23 bits)
Octal 0o34447414
Hexadecimal 0x724F0C

Divisor Catalog (24)

1 2 4 5 10 20 463 809 926 1,618 1,852 2,315 3,236 4,045 4,630 8,090 9,260 16,180 374,567 749,134 1,498,268 1,872,835 3,745,670 7,491,340

Collatz Trajectory (129 steps to reach 1)

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

7,491,340 3,745,670 1,872,835 5,618,506 2,809,253 8,427,760 4,213,880 2,106,940 1,053,470 526,735 1,580,206 790,103 2,370,310 1,185,155 3,555,466 1,777,733 5,333,200 2,666,600 1,333,300 666,650 333,325 999,976 499,988 249,994 124,997 374,992 187,496 93,748 46,874 23,437 70,312 35,156 17,578 8,789 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

More profiles

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