1,072,071

3² × 7² × 11 × 13 × 17

1,072,071 has digital root 9. The neighboring primes are 1072039 and 1072103; its proper-divisor sum differs from the starting integer by 96,642.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,240,784

Proper Divisor Sum 1,168,713

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1072039 ← → #1072103

Radix Representation

Decimal	1072071
Binary	100000101101111000111 (21 bits)
Octal	0o4055707
Hexadecimal	0x105BC7

Divisor Catalog (60 of 72)

1 3 7 9 11 13 17 21 33 39 49 51 63 77 91 99 117 119 143 147 153 187 221 231 273 357 429 441 539 561 637 663 693 819 833 1,001 1,071 1,287 1,309 1,547 1,617 1,683 1,911 1,989 2,431 2,499 3,003 3,927 4,641 4,851 5,733 7,007 7,293 7,497 9,009 9,163 10,829 11,781 13,923 17,017

Collatz Trajectory (103 steps to reach 1)

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

1,072,071 3,216,214 1,608,107 4,824,322 2,412,161 7,236,484 3,618,242 1,809,121 5,427,364 2,713,682 1,356,841 4,070,524 2,035,262 1,017,631 3,052,894 1,526,447 4,579,342 2,289,671 6,869,014 3,434,507 10,303,522 5,151,761 15,455,284 7,727,642 3,863,821 11,591,464 5,795,732 2,897,866 1,448,933 4,346,800 2,173,400 1,086,700 543,350 271,675 815,026 407,513 1,222,540 611,270 305,635 916,906 458,453 1,375,360 687,680 343,840 171,920 85,960 42,980 21,490 10,745 32,236 16,118 8,059 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804

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