λ
Prime Ledger

9,767,575

52 × 390703
Deficient Odd Composite

9,767,575 has the prime decomposition 5^2 × 390703. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 390703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,111,824
Proper Divisor Sum 2,344,249
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9767567 ← → #9767581

Radix Representation

Decimal 9767575
Binary 100101010000101010010111 (24 bits)
Octal 0o45205227
Hexadecimal 0x950A97

Divisor Catalog (6)

1 5 25 390,703 1,953,515 9,767,575

Collatz Trajectory (114 steps to reach 1)

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

9,767,575 29,302,726 14,651,363 43,954,090 21,977,045 65,931,136 32,965,568 16,482,784 8,241,392 4,120,696 2,060,348 1,030,174 515,087 1,545,262 772,631 2,317,894 1,158,947 3,476,842 1,738,421 5,215,264 2,607,632 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

More profiles

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