λ
Harmonic Matrix

7,394,320

24 × 5 × 17 × 5437
Abundant Even Composite

7,394,320 has digital root 1. The neighboring primes are 7394297 and 7394347; its proper-divisor sum differs from the starting integer by 3,417,784.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 5437
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,206,424
Proper Divisor Sum 10,812,104
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7394297 ← → #7394347

Radix Representation

Decimal 7394320
Binary 11100001101010000010000 (23 bits)
Octal 0o34152020
Hexadecimal 0x70D410

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 5,437 10,874 21,748 27,185 43,496 54,370 86,992 92,429 108,740 184,858 217,480 369,716 434,960 462,145 739,432 924,290 1,478,864 1,848,580 3,697,160 7,394,320

Collatz Trajectory (54 steps to reach 1)

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

7,394,320 3,697,160 1,848,580 924,290 462,145 1,386,436 693,218 346,609 1,039,828 519,914 259,957 779,872 389,936 194,968 97,484 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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