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Atlas › Integer Profiles › Node 8,043,808

8,043,808

25 × 173 × 1453
Deficient Even Composite

8,043,808 factors as 2^5 × 173 × 1453. Its 24 positive divisors give a proper-divisor sum of 7,894,940, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^5 × 173 × 1453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,938,748
Proper Divisor Sum 7,894,940
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8043781 ← → #8043809

Radix Representation

Decimal 8043808
Binary 11110101011110100100000 (23 bits)
Octal 0o36536440
Hexadecimal 0x7ABD20

Divisor Catalog (24)

1 2 4 8 16 32 173 346 692 1,384 1,453 2,768 2,906 5,536 5,812 11,624 23,248 46,496 251,369 502,738 1,005,476 2,010,952 4,021,904 8,043,808

Collatz Trajectory (142 steps to reach 1)

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

8,043,808 4,021,904 2,010,952 1,005,476 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634 715,817 2,147,452 1,073,726 536,863 1,610,590 805,295 2,415,886 1,207,943 3,623,830 1,811,915 5,435,746 2,717,873 8,153,620 4,076,810 2,038,405 6,115,216 3,057,608 1,528,804 764,402 382,201 1,146,604 573,302 286,651 859,954 429,977 1,289,932 644,966 322,483 967,450 483,725 1,451,176 725,588 362,794 181,397 544,192 272,096 136,048 68,024 34,012 17,006 8,503

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