2,736,124

2² × 397 × 1723

2,736,124 factors as 2^2 × 397 × 1723. Its 12 positive divisors give a proper-divisor sum of 2,066,940, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 397 × 1723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,803,064

Proper Divisor Sum 2,066,940

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2736089 ← → #2736131

Radix Representation

Decimal	2736124
Binary	1010011011111111111100 (22 bits)
Octal	0o12337774
Hexadecimal	0x29BFFC

Divisor Catalog (12)

1 2 4 397 794 1,588 1,723 3,446 6,892 684,031 1,368,062 2,736,124

Collatz Trajectory (187 steps to reach 1)

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

2,736,124 1,368,062 684,031 2,052,094 1,026,047 3,078,142 1,539,071 4,617,214 2,308,607 6,925,822 3,462,911 10,388,734 5,194,367 15,583,102 7,791,551 23,374,654 11,687,327 35,061,982 17,530,991 52,592,974 26,296,487 78,889,462 39,444,731 118,334,194 59,167,097 177,501,292 88,750,646 44,375,323 133,125,970 66,562,985 199,688,956 99,844,478 49,922,239 149,766,718 74,883,359 224,650,078 112,325,039 336,975,118 168,487,559 505,462,678 252,731,339 758,194,018 379,097,009 1,137,291,028 568,645,514 284,322,757 852,968,272 426,484,136 213,242,068 106,621,034 53,310,517 159,931,552 79,965,776 39,982,888 19,991,444 9,995,722 4,997,861 14,993,584 7,496,792 3,748,396

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