9,787,768

2³ × 1223471

9,787,768 factors as 2^3 × 1223471. Its 8 positive divisors give a proper-divisor sum of 8,564,312, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 1223471

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 18,352,080

Proper Divisor Sum 8,564,312

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #9787759 ← → #9787769

Radix Representation

Decimal	9787768
Binary	100101010101100101111000 (24 bits)
Octal	0o45254570
Hexadecimal	0x955978

Divisor Catalog (8)

1 2 4 8 1,223,471 2,446,942 4,893,884 9,787,768

Collatz Trajectory (145 steps to reach 1)

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

9,787,768 4,893,884 2,446,942 1,223,471 3,670,414 1,835,207 5,505,622 2,752,811 8,258,434 4,129,217 12,387,652 6,193,826 3,096,913 9,290,740 4,645,370 2,322,685 6,968,056 3,484,028 1,742,014 871,007 2,613,022 1,306,511 3,919,534 1,959,767 5,879,302 2,939,651 8,818,954 4,409,477 13,228,432 6,614,216 3,307,108 1,653,554 826,777 2,480,332 1,240,166 620,083 1,860,250 930,125 2,790,376 1,395,188 697,594 348,797 1,046,392 523,196 261,598 130,799 392,398 196,199 588,598 294,299 882,898 441,449 1,324,348 662,174 331,087 993,262 496,631 1,489,894 744,947 2,234,842

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