27,700,007

79 × 521 × 673

27,700,007 factors as 79 × 521 × 673. Its 8 positive divisors give a proper-divisor sum of 446,233, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 79 × 521 × 673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 28,146,240

Proper Divisor Sum 446,233

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #27700003 ← → #27700009

Radix Representation

Decimal	27700007
Binary	1101001101010101100100111 (25 bits)
Octal	0o151525447
Hexadecimal	0x1A6AB27

Divisor Catalog (8)

1 79 521 673 41,159 53,167 350,633 27,700,007

Collatz Trajectory (180 steps to reach 1)

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

27,700,007 83,100,022 41,550,011 124,650,034 62,325,017 186,975,052 93,487,526 46,743,763 140,231,290 70,115,645 210,346,936 105,173,468 52,586,734 26,293,367 78,880,102 39,440,051 118,320,154 59,160,077 177,480,232 88,740,116 44,370,058 22,185,029 66,555,088 33,277,544 16,638,772 8,319,386 4,159,693 12,479,080 6,239,540 3,119,770 1,559,885 4,679,656 2,339,828 1,169,914 584,957 1,754,872 877,436 438,718 219,359 658,078 329,039 987,118 493,559 1,480,678 740,339 2,221,018 1,110,509 3,331,528 1,665,764 832,882 416,441 1,249,324 624,662 312,331 936,994 468,497 1,405,492 702,746 351,373 1,054,120

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