λ
Harmonic Matrix

7,035,216

24 × 3 × 97 × 1511
Abundant Even Composite

7,035,216 has digital root 6. The neighboring primes are 7035211 and 7035221; its proper-divisor sum differs from the starting integer by 4,303,392.

Prime Factor Structure

Factorization String 2^4 × 3 × 97 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,373,824
Proper Divisor Sum 11,338,608
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7035211 ← → #7035221

Radix Representation

Decimal 7035216
Binary 11010110101100101010000 (23 bits)
Octal 0o32654520
Hexadecimal 0x6B5950

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1,164 1,511 1,552 2,328 3,022 4,533 4,656 6,044 9,066 12,088 18,132 24,176 36,264 72,528 146,567 293,134 439,701 586,268 879,402 1,172,536 1,758,804 2,345,072 3,517,608 7,035,216

Collatz Trajectory (160 steps to reach 1)

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

7,035,216 3,517,608 1,758,804 879,402 439,701 1,319,104 659,552 329,776 164,888 82,444 41,222 20,611 61,834 30,917 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

More profiles

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