2,677,756

2² × 239 × 2801

2,677,756 has digital root 4. The neighboring primes are 2677747 and 2677757; its proper-divisor sum differs from the starting integer by -648,152.

Prime Factor Structure

Factorization String 2^2 × 239 × 2801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,707,360

Proper Divisor Sum 2,029,604

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2677747 ← → #2677757

Radix Representation

Decimal	2677756
Binary	1010001101101111111100 (22 bits)
Octal	0o12155774
Hexadecimal	0x28DBFC

Divisor Catalog (12)

1 2 4 239 478 956 2,801 5,602 11,204 669,439 1,338,878 2,677,756

Collatz Trajectory (169 steps to reach 1)

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

2,677,756 1,338,878 669,439 2,008,318 1,004,159 3,012,478 1,506,239 4,518,718 2,259,359 6,778,078 3,389,039 10,167,118 5,083,559 15,250,678 7,625,339 22,876,018 11,438,009 34,314,028 17,157,014 8,578,507 25,735,522 12,867,761 38,603,284 19,301,642 9,650,821 28,952,464 14,476,232 7,238,116 3,619,058 1,809,529 5,428,588 2,714,294 1,357,147 4,071,442 2,035,721 6,107,164 3,053,582 1,526,791 4,580,374 2,290,187 6,870,562 3,435,281 10,305,844 5,152,922 2,576,461 7,729,384 3,864,692 1,932,346 966,173 2,898,520 1,449,260 724,630 362,315 1,086,946 543,473 1,630,420 815,210 407,605 1,222,816 611,408

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