λ
Sigma Notebook

3,177,159

3 × 31 × 127 × 269
Deficient Odd Composite

3,177,159 is odd and not a perfect square. Its factorization is 3 × 31 × 127 × 269 and its 16 divisors sum to 4,423,680.

Prime Factor Structure

Factorization String 3 × 31 × 127 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,423,680
Proper Divisor Sum 1,246,521
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3177149 ← → #3177169

Radix Representation

Decimal 3177159
Binary 1100000111101011000111 (22 bits)
Octal 0o14075307
Hexadecimal 0x307AC7

Divisor Catalog (16)

1 3 31 93 127 269 381 807 3,937 8,339 11,811 25,017 34,163 102,489 1,059,053 3,177,159

Collatz Trajectory (195 steps to reach 1)

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

3,177,159 9,531,478 4,765,739 14,297,218 7,148,609 21,445,828 10,722,914 5,361,457 16,084,372 8,042,186 4,021,093 12,063,280 6,031,640 3,015,820 1,507,910 753,955 2,261,866 1,130,933 3,392,800 1,696,400 848,200 424,100 212,050 106,025 318,076 159,038 79,519 238,558 119,279 357,838 178,919 536,758 268,379 805,138 402,569 1,207,708 603,854 301,927 905,782 452,891 1,358,674 679,337 2,038,012 1,019,006 509,503 1,528,510 764,255 2,292,766 1,146,383 3,439,150 1,719,575 5,158,726 2,579,363 7,738,090 3,869,045 11,607,136 5,803,568 2,901,784 1,450,892 725,446

More profiles

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