1,088,637

3 × 11² × 2999

1,088,637 has digital root 6. The neighboring primes are 1088623 and 1088639; its proper-divisor sum differs from the starting integer by -581,274.

Prime Factor Structure

Factorization String 3 × 11^2 × 2999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,596,000

Proper Divisor Sum 507,363

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1088623 ← → #1088639

Radix Representation

Decimal	1088637
Binary	100001001110001111101 (21 bits)
Octal	0o4116175
Hexadecimal	0x109C7D

Divisor Catalog (12)

1 3 11 33 121 363 2,999 8,997 32,989 98,967 362,879 1,088,637

Collatz Trajectory (240 steps to reach 1)

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

1,088,637 3,265,912 1,632,956 816,478 408,239 1,224,718 612,359 1,837,078 918,539 2,755,618 1,377,809 4,133,428 2,066,714 1,033,357 3,100,072 1,550,036 775,018 387,509 1,162,528 581,264 290,632 145,316 72,658 36,329 108,988 54,494 27,247 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880 130,940 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725 497,176 248,588

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