λ
Harmonic Matrix

754,966

2 × 73 × 5171
Deficient Even Composite

754,966 has digital root 1. The neighboring primes are 754939 and 754967; its proper-divisor sum differs from the starting integer by -361,748.

Prime Factor Structure

Factorization String 2 × 73 × 5171
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,148,184
Proper Divisor Sum 393,218
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #754939 ← → #754967

Radix Representation

Decimal 754966
Binary 10111000010100010110 (20 bits)
Octal 0o2702426
Hexadecimal 0xB8516

Divisor Catalog (8)

1 2 73 146 5,171 10,342 377,483 754,966

Collatz Trajectory (180 steps to reach 1)

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

754,966 377,483 1,132,450 566,225 1,698,676 849,338 424,669 1,274,008 637,004 318,502 159,251 477,754 238,877 716,632 358,316 179,158 89,579 268,738 134,369 403,108 201,554 100,777 302,332 151,166 75,583 226,750 113,375 340,126 170,063 510,190 255,095 765,286 382,643 1,147,930 573,965 1,721,896 860,948 430,474 215,237 645,712 322,856 161,428 80,714 40,357 121,072 60,536 30,268 15,134 7,567 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789

More profiles

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