978,369

3 × 7 × 46589

978,369 factors as 3 × 7 × 46589. Its 8 positive divisors give a proper-divisor sum of 512,511, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3 × 7 × 46589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,490,880

Proper Divisor Sum 512,511

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #978359 ← → #978389

Radix Representation

Decimal	978369
Binary	11101110110111000001 (20 bits)
Octal	0o3566701
Hexadecimal	0xEEDC1

Divisor Catalog (8)

1 3 7 21 46,589 139,767 326,123 978,369

Collatz Trajectory (152 steps to reach 1)

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

978,369 2,935,108 1,467,554 733,777 2,201,332 1,100,666 550,333 1,651,000 825,500 412,750 206,375 619,126 309,563 928,690 464,345 1,393,036 696,518 348,259 1,044,778 522,389 1,567,168 783,584 391,792 195,896 97,948 48,974 24,487 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904 78,452 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240

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