3,427,415

5 × 79 × 8677

For 3,427,415, the 8 positive divisors have a total of 4,165,440. Removing 3,427,415 leaves 738,025, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 79 × 8677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,165,440

Proper Divisor Sum 738,025

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3427409 ← → #3427439

Radix Representation

Decimal	3427415
Binary	1101000100110001010111 (22 bits)
Octal	0o15046127
Hexadecimal	0x344C57

Divisor Catalog (8)

1 5 79 395 8,677 43,385 685,483 3,427,415

Collatz Trajectory (102 steps to reach 1)

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

3,427,415 10,282,246 5,141,123 15,423,370 7,711,685 23,135,056 11,567,528 5,783,764 2,891,882 1,445,941 4,337,824 2,168,912 1,084,456 542,228 271,114 135,557 406,672 203,336 101,668 50,834 25,417 76,252 38,126 19,063 57,190 28,595 85,786 42,893 128,680 64,340 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644

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