λ
Sigma Notebook

7,760,602

2 × 17 × 31 × 37 × 199
Deficient Even Composite

7,760,602 is even and not a perfect square. Its factorization is 2 × 17 × 31 × 37 × 199 and its 32 divisors sum to 13,132,800.

Prime Factor Structure

Factorization String 2 × 17 × 31 × 37 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,132,800
Proper Divisor Sum 5,372,198
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7760579 ← → #7760609

Radix Representation

Decimal 7760602
Binary 11101100110101011011010 (23 bits)
Octal 0o35465332
Hexadecimal 0x766ADA

Divisor Catalog (32)

1 2 17 31 34 37 62 74 199 398 527 629 1,054 1,147 1,258 2,294 3,383 6,169 6,766 7,363 12,338 14,726 19,499 38,998 104,873 125,171 209,746 228,253 250,342 456,506 3,880,301 7,760,602

Collatz Trajectory (80 steps to reach 1)

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

7,760,602 3,880,301 11,640,904 5,820,452 2,910,226 1,455,113 4,365,340 2,182,670 1,091,335 3,274,006 1,637,003 4,911,010 2,455,505 7,366,516 3,683,258 1,841,629 5,524,888 2,762,444 1,381,222 690,611 2,071,834 1,035,917 3,107,752 1,553,876 776,938 388,469 1,165,408 582,704 291,352 145,676 72,838 36,419 109,258 54,629 163,888 81,944 40,972 20,486 10,243 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38

More profiles

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