λ
Harmonic Matrix

8,076,236

22 × 7 × 211 × 1367
Abundant Even Composite

8,076,236 has digital root 5. The neighboring primes are 8076227 and 8076319; its proper-divisor sum differs from the starting integer by 88,424.

Prime Factor Structure

Factorization String 2^2 × 7 × 211 × 1367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,240,896
Proper Divisor Sum 8,164,660
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8076227 ← → #8076319

Radix Representation

Decimal 8076236
Binary 11110110011101111001100 (23 bits)
Octal 0o36635714
Hexadecimal 0x7B3BCC

Divisor Catalog (24)

1 2 4 7 14 28 211 422 844 1,367 1,477 2,734 2,954 5,468 5,908 9,569 19,138 38,276 288,437 576,874 1,153,748 2,019,059 4,038,118 8,076,236

Collatz Trajectory (261 steps to reach 1)

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

8,076,236 4,038,118 2,019,059 6,057,178 3,028,589 9,085,768 4,542,884 2,271,442 1,135,721 3,407,164 1,703,582 851,791 2,555,374 1,277,687 3,833,062 1,916,531 5,749,594 2,874,797 8,624,392 4,312,196 2,156,098 1,078,049 3,234,148 1,617,074 808,537 2,425,612 1,212,806 606,403 1,819,210 909,605 2,728,816 1,364,408 682,204 341,102 170,551 511,654 255,827 767,482 383,741 1,151,224 575,612 287,806 143,903 431,710 215,855 647,566 323,783 971,350 485,675 1,457,026 728,513 2,185,540 1,092,770 546,385 1,639,156 819,578 409,789 1,229,368 614,684 307,342

More profiles

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