7,165,726

2 × 29 × 123547

7,165,726 factors as 2 × 29 × 123547. Its 8 positive divisors give a proper-divisor sum of 3,953,594, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 29 × 123547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,119,320

Proper Divisor Sum 3,953,594

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7165699 ← → #7165729

Radix Representation

Decimal	7165726
Binary	11011010101011100011110 (23 bits)
Octal	0o33253436
Hexadecimal	0x6D571E

Divisor Catalog (8)

1 2 29 58 123,547 247,094 3,582,863 7,165,726

Collatz Trajectory (103 steps to reach 1)

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

7,165,726 3,582,863 10,748,590 5,374,295 16,122,886 8,061,443 24,184,330 12,092,165 36,276,496 18,138,248 9,069,124 4,534,562 2,267,281 6,801,844 3,400,922 1,700,461 5,101,384 2,550,692 1,275,346 637,673 1,913,020 956,510 478,255 1,434,766 717,383 2,152,150 1,076,075 3,228,226 1,614,113 4,842,340 2,421,170 1,210,585 3,631,756 1,815,878 907,939 2,723,818 1,361,909 4,085,728 2,042,864 1,021,432 510,716 255,358 127,679 383,038 191,519 574,558 287,279 861,838 430,919 1,292,758 646,379 1,939,138 969,569 2,908,708 1,454,354 727,177 2,181,532 1,090,766 545,383 1,636,150

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