1,072,698

2 × 3 × 11 × 16253

1,072,698 factors as 2 × 3 × 11 × 16253. Its 16 positive divisors give a proper-divisor sum of 1,267,878, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 16253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,340,576

Proper Divisor Sum 1,267,878

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1072657 ← → #1072711

Radix Representation

Decimal	1072698
Binary	100000101111000111010 (21 bits)
Octal	0o4057072
Hexadecimal	0x105E3A

Divisor Catalog (16)

1 2 3 6 11 22 33 66 16,253 32,506 48,759 97,518 178,783 357,566 536,349 1,072,698

Collatz Trajectory (240 steps to reach 1)

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

1,072,698 536,349 1,609,048 804,524 402,262 201,131 603,394 301,697 905,092 452,546 226,273 678,820 339,410 169,705 509,116 254,558 127,279 381,838 190,919 572,758 286,379 859,138 429,569 1,288,708 644,354 322,177 966,532 483,266 241,633 724,900 362,450 181,225 543,676 271,838 135,919 407,758 203,879 611,638 305,819 917,458 458,729 1,376,188 688,094 344,047 1,032,142 516,071 1,548,214 774,107 2,322,322 1,161,161 3,483,484 1,741,742 870,871 2,612,614 1,306,307 3,918,922 1,959,461 5,878,384 2,939,192 1,469,596

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