λ
Harmonic Matrix

6,718,537

72 × 31 × 4423
Deficient Odd Composite

6,718,537 has digital root 1. The neighboring primes are 6718499 and 6718541; its proper-divisor sum differs from the starting integer by -5,367,698.

Prime Factor Structure

Factorization String 7^2 × 31 × 4423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,069,376
Proper Divisor Sum 1,350,839
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6718499 ← → #6718541

Radix Representation

Decimal 6718537
Binary 11001101000010001001001 (23 bits)
Octal 0o31502111
Hexadecimal 0x668449

Divisor Catalog (12)

1 7 31 49 217 1,519 4,423 30,961 137,113 216,727 959,791 6,718,537

Collatz Trajectory (116 steps to reach 1)

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

6,718,537 20,155,612 10,077,806 5,038,903 15,116,710 7,558,355 22,675,066 11,337,533 34,012,600 17,006,300 8,503,150 4,251,575 12,754,726 6,377,363 19,132,090 9,566,045 28,698,136 14,349,068 7,174,534 3,587,267 10,761,802 5,380,901 16,142,704 8,071,352 4,035,676 2,017,838 1,008,919 3,026,758 1,513,379 4,540,138 2,270,069 6,810,208 3,405,104 1,702,552 851,276 425,638 212,819 638,458 319,229 957,688 478,844 239,422 119,711 359,134 179,567 538,702 269,351 808,054 404,027 1,212,082 606,041 1,818,124 909,062 454,531 1,363,594 681,797 2,045,392 1,022,696 511,348 255,674

More profiles

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