978,117

3 × 7 × 47 × 991

978,117 factors as 3 × 7 × 47 × 991. Its 16 positive divisors give a proper-divisor sum of 545,595, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,523,712

Proper Divisor Sum 545,595

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #978113 ← → #978149

Radix Representation

Decimal	978117
Binary	11101110110011000101 (20 bits)
Octal	0o3566305
Hexadecimal	0xEECC5

Divisor Catalog (16)

1 3 7 21 47 141 329 987 991 2,973 6,937 20,811 46,577 139,731 326,039 978,117

Collatz Trajectory (90 steps to reach 1)

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

978,117 2,934,352 1,467,176 733,588 366,794 183,397 550,192 275,096 137,548 68,774 34,387 103,162 51,581 154,744 77,372 38,686 19,343 58,030 29,015 87,046 43,523 130,570 65,285 195,856 97,928 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 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

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #978,116 Browse Full Index Next Integer #978,118 →