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Atlas › Integer Profiles › Node 7,429,684

7,429,684

22 × 19 × 29 × 3371
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19 × 29 × 3371
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,162,400
Proper Divisor Sum 6,732,716
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7429679 ← → #7429687

Radix Representation

Decimal 7429684
Binary 11100010101111000110100 (23 bits)
Octal 0o34257064
Hexadecimal 0x715E34

Divisor Catalog (24)

1 2 4 19 29 38 58 76 116 551 1,102 2,204 3,371 6,742 13,484 64,049 97,759 128,098 195,518 256,196 391,036 1,857,421 3,714,842 7,429,684

Collatz Trajectory (67 steps to reach 1)

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

7,429,684 3,714,842 1,857,421 5,572,264 2,786,132 1,393,066 696,533 2,089,600 1,044,800 522,400 261,200 130,600 65,300 32,650 16,325 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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