578,799

3³ × 13 × 17 × 97

578,799 has digital root 9. The neighboring primes are 578789 and 578803; its proper-divisor sum differs from the starting integer by -169,758.

Prime Factor Structure

Factorization String 3^3 × 13 × 17 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 987,840

Proper Divisor Sum 409,041

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #578789 ← → #578803

Radix Representation

Decimal	578799
Binary	10001101010011101111 (20 bits)
Octal	0o2152357
Hexadecimal	0x8D4EF

Divisor Catalog (32)

1 3 9 13 17 27 39 51 97 117 153 221 291 351 459 663 873 1,261 1,649 1,989 2,619 3,783 4,947 5,967 11,349 14,841 21,437 34,047 44,523 64,311 192,933 578,799

Collatz Trajectory (314 steps to reach 1)

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

578,799 1,736,398 868,199 2,604,598 1,302,299 3,906,898 1,953,449 5,860,348 2,930,174 1,465,087 4,395,262 2,197,631 6,592,894 3,296,447 9,889,342 4,944,671 14,834,014 7,417,007 22,251,022 11,125,511 33,376,534 16,688,267 50,064,802 25,032,401 75,097,204 37,548,602 18,774,301 56,322,904 28,161,452 14,080,726 7,040,363 21,121,090 10,560,545 31,681,636 15,840,818 7,920,409 23,761,228 11,880,614 5,940,307 17,820,922 8,910,461 26,731,384 13,365,692 6,682,846 3,341,423 10,024,270 5,012,135 15,036,406 7,518,203 22,554,610 11,277,305 33,831,916 16,915,958 8,457,979 25,373,938 12,686,969 38,060,908 19,030,454 9,515,227 28,545,682

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