1,072,825

5² × 13 × 3301

1,072,825 factors as 5^2 × 13 × 3301. Its 12 positive divisors give a proper-divisor sum of 360,243, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 3301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,433,068

Proper Divisor Sum 360,243

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1072823 ← → #1072829

Radix Representation

Decimal	1072825
Binary	100000101111010111001 (21 bits)
Octal	0o4057271
Hexadecimal	0x105EB9

Divisor Catalog (12)

1 5 13 25 65 325 3,301 16,505 42,913 82,525 214,565 1,072,825

Collatz Trajectory (209 steps to reach 1)

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

1,072,825 3,218,476 1,609,238 804,619 2,413,858 1,206,929 3,620,788 1,810,394 905,197 2,715,592 1,357,796 678,898 339,449 1,018,348 509,174 254,587 763,762 381,881 1,145,644 572,822 286,411 859,234 429,617 1,288,852 644,426 322,213 966,640 483,320 241,660 120,830 60,415 181,246 90,623 271,870 135,935 407,806 203,903 611,710 305,855 917,566 458,783 1,376,350 688,175 2,064,526 1,032,263 3,096,790 1,548,395 4,645,186 2,322,593 6,967,780 3,483,890 1,741,945 5,225,836 2,612,918 1,306,459 3,919,378 1,959,689 5,879,068 2,939,534 1,469,767

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