5,578,391

7 × 13 × 59 × 1039

For 5,578,391, the 16 positive divisors have a total of 6,988,800. Removing 5,578,391 leaves 1,410,409, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 13 × 59 × 1039

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,988,800

Proper Divisor Sum 1,410,409

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5578387 ← → #5578421

Radix Representation

Decimal	5578391
Binary	10101010001111010010111 (23 bits)
Octal	0o25217227
Hexadecimal	0x551E97

Divisor Catalog (16)

1 7 13 59 91 413 767 1,039 5,369 7,273 13,507 61,301 94,549 429,107 796,913 5,578,391

Collatz Trajectory (170 steps to reach 1)

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

5,578,391 16,735,174 8,367,587 25,102,762 12,551,381 37,654,144 18,827,072 9,413,536 4,706,768 2,353,384 1,176,692 588,346 294,173 882,520 441,260 220,630 110,315 330,946 165,473 496,420 248,210 124,105 372,316 186,158 93,079 279,238 139,619 418,858 209,429 628,288 314,144 157,072 78,536 39,268 19,634 9,817 29,452 14,726 7,363 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164

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