λ
Integer Codex

2,711,877

3 × 7 × 29 × 61 × 73
Deficient Odd Composite

For 2,711,877, the 32 positive divisors have a total of 4,404,480. Removing 2,711,877 leaves 1,692,603, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 61 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,404,480
Proper Divisor Sum 1,692,603
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2711873 ← → #2711899

Radix Representation

Decimal 2711877
Binary 1010010110000101000101 (22 bits)
Octal 0o12260505
Hexadecimal 0x296145

Divisor Catalog (32)

1 3 7 21 29 61 73 87 183 203 219 427 511 609 1,281 1,533 1,769 2,117 4,453 5,307 6,351 12,383 13,359 14,819 31,171 37,149 44,457 93,513 129,137 387,411 903,959 2,711,877

Collatz Trajectory (112 steps to reach 1)

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

2,711,877 8,135,632 4,067,816 2,033,908 1,016,954 508,477 1,525,432 762,716 381,358 190,679 572,038 286,019 858,058 429,029 1,287,088 643,544 321,772 160,886 80,443 241,330 120,665 361,996 180,998 90,499 271,498 135,749 407,248 203,624 101,812 50,906 25,453 76,360 38,180 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478

More profiles

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