9,767,504

2⁴ × 610469

9,767,504 factors as 2^4 × 610469. Its 10 positive divisors give a proper-divisor sum of 9,157,066, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 610469

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 18,924,570

Proper Divisor Sum 9,157,066

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9767497 ← → #9767507

Radix Representation

Decimal	9767504
Binary	100101010000101001010000 (24 bits)
Octal	0o45205120
Hexadecimal	0x950A50

Divisor Catalog (10)

1 2 4 8 16 610,469 1,220,938 2,441,876 4,883,752 9,767,504

Collatz Trajectory (114 steps to reach 1)

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

9,767,504 4,883,752 2,441,876 1,220,938 610,469 1,831,408 915,704 457,852 228,926 114,463 343,390 171,695 515,086 257,543 772,630 386,315 1,158,946 579,473 1,738,420 869,210 434,605 1,303,816 651,908 325,954 162,977 488,932 244,466 122,233 366,700 183,350 91,675 275,026 137,513 412,540 206,270 103,135 309,406 154,703 464,110 232,055 696,166 348,083 1,044,250 522,125 1,566,376 783,188 391,594 195,797 587,392 293,696 146,848 73,424 36,712 18,356 9,178 4,589 13,768 6,884 3,442 1,721

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