8,402,075

5² × 11 × 30553

8,402,075 factors as 5^2 × 11 × 30553. Its 12 positive divisors give a proper-divisor sum of 2,964,013, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 30553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,366,088

Proper Divisor Sum 2,964,013

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8402057 ← → #8402077

Radix Representation

Decimal	8402075
Binary	100000000011010010011011 (24 bits)
Octal	0o40032233
Hexadecimal	0x80349B

Divisor Catalog (12)

1 5 11 25 55 275 30,553 152,765 336,083 763,825 1,680,415 8,402,075

Collatz Trajectory (243 steps to reach 1)

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

8,402,075 25,206,226 12,603,113 37,809,340 18,904,670 9,452,335 28,357,006 14,178,503 42,535,510 21,267,755 63,803,266 31,901,633 95,704,900 47,852,450 23,926,225 71,778,676 35,889,338 17,944,669 53,834,008 26,917,004 13,458,502 6,729,251 20,187,754 10,093,877 30,281,632 15,140,816 7,570,408 3,785,204 1,892,602 946,301 2,838,904 1,419,452 709,726 354,863 1,064,590 532,295 1,596,886 798,443 2,395,330 1,197,665 3,592,996 1,796,498 898,249 2,694,748 1,347,374 673,687 2,021,062 1,010,531 3,031,594 1,515,797 4,547,392 2,273,696 1,136,848 568,424 284,212 142,106 71,053 213,160 106,580 53,290

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