7,875,637

7 × 11 × 23 × 4447

7,875,637 factors as 7 × 11 × 23 × 4447. Its 16 positive divisors give a proper-divisor sum of 2,372,555, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 7 × 11 × 23 × 4447

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,248,192

Proper Divisor Sum 2,372,555

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7875631 ← → #7875653

Radix Representation

Decimal	7875637
Binary	11110000010110000110101 (23 bits)
Octal	0o36026065
Hexadecimal	0x782C35

Divisor Catalog (16)

1 7 11 23 77 161 253 1,771 4,447 31,129 48,917 102,281 342,419 715,967 1,125,091 7,875,637

Collatz Trajectory (124 steps to reach 1)

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

7,875,637 23,626,912 11,813,456 5,906,728 2,953,364 1,476,682 738,341 2,215,024 1,107,512 553,756 276,878 138,439 415,318 207,659 622,978 311,489 934,468 467,234 233,617 700,852 350,426 175,213 525,640 262,820 131,410 65,705 197,116 98,558 49,279 147,838 73,919 221,758 110,879 332,638 166,319 498,958 249,479 748,438 374,219 1,122,658 561,329 1,683,988 841,994 420,997 1,262,992 631,496 315,748 157,874 78,937 236,812 118,406 59,203 177,610 88,805 266,416 133,208 66,604 33,302 16,651 49,954

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