λ
Harmonic Matrix

976,045

5 × 7 × 79 × 353
Deficient Odd Composite

976,045 has digital root 4. The neighboring primes are 976039 and 976091; its proper-divisor sum differs from the starting integer by -592,730.

Prime Factor Structure

Factorization String 5 × 7 × 79 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,359,360
Proper Divisor Sum 383,315
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #976039 ← → #976091

Radix Representation

Decimal 976045
Binary 11101110010010101101 (20 bits)
Octal 0o3562255
Hexadecimal 0xEE4AD

Divisor Catalog (16)

1 5 7 35 79 353 395 553 1,765 2,471 2,765 12,355 27,887 139,435 195,209 976,045

Collatz Trajectory (183 steps to reach 1)

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

976,045 2,928,136 1,464,068 732,034 366,017 1,098,052 549,026 274,513 823,540 411,770 205,885 617,656 308,828 154,414 77,207 231,622 115,811 347,434 173,717 521,152 260,576 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196

More profiles

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