λ
Sigma Notebook

7,877,977

349 × 22573
Deficient Odd Composite

7,877,977 is odd and not a perfect square. Its factorization is 349 × 22573 and its 4 divisors sum to 7,900,900.

Prime Factor Structure

Factorization String 349 × 22573
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,900,900
Proper Divisor Sum 22,923
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #7877971 ← → #7877981

Radix Representation

Decimal 7877977
Binary 11110000011010101011001 (23 bits)
Octal 0o36032531
Hexadecimal 0x783559

Divisor Catalog (4)

1 349 22,573 7,877,977

Collatz Trajectory (67 steps to reach 1)

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

7,877,977 23,633,932 11,816,966 5,908,483 17,725,450 8,862,725 26,588,176 13,294,088 6,647,044 3,323,522 1,661,761 4,985,284 2,492,642 1,246,321 3,738,964 1,869,482 934,741 2,804,224 1,402,112 701,056 350,528 175,264 87,632 43,816 21,908 10,954 5,477 16,432 8,216 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40

More profiles

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