λ
Harmonic Matrix
Atlas › Integer Profiles › Node 976,325

976,325

52 × 72 × 797
Deficient Odd Composite

976,325 has digital root 5. The neighboring primes are 976309 and 976351; its proper-divisor sum differs from the starting integer by -542,584.

Prime Factor Structure

Factorization String 5^2 × 7^2 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,410,066
Proper Divisor Sum 433,741
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #976309 ← → #976351

Radix Representation

Decimal 976325
Binary 11101110010111000101 (20 bits)
Octal 0o3562705
Hexadecimal 0xEE5C5

Divisor Catalog (18)

1 5 7 25 35 49 175 245 797 1,225 3,985 5,579 19,925 27,895 39,053 139,475 195,265 976,325

Collatz Trajectory (90 steps to reach 1)

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

976,325 2,928,976 1,464,488 732,244 366,122 183,061 549,184 274,592 137,296 68,648 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173

More profiles

9,927,970 3,813,504 2,643,152 1,606,459 4,685,455 9,931,219 7,095,435 7,820,396 1,238,318 9,764,971 470,807 3,395,171 6,573,235 7,748,997 8,365,144 9,665,814
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