9,777,021

3 × 557 × 5851

Starting at 9,777,021, the Collatz iteration reaches 1 after 101 steps. The first transition is 29331064; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 557 × 5851

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,061,664

Proper Divisor Sum 3,284,643

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9777017 ← → #9777037

Radix Representation

Decimal	9777021
Binary	100101010010111101111101 (24 bits)
Octal	0o45227575
Hexadecimal	0x952F7D

Divisor Catalog (8)

1 3 557 1,671 5,851 17,553 3,259,007 9,777,021

Collatz Trajectory (101 steps to reach 1)

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

9,777,021 29,331,064 14,665,532 7,332,766 3,666,383 10,999,150 5,499,575 16,498,726 8,249,363 24,748,090 12,374,045 37,122,136 18,561,068 9,280,534 4,640,267 13,920,802 6,960,401 20,881,204 10,440,602 5,220,301 15,660,904 7,830,452 3,915,226 1,957,613 5,872,840 2,936,420 1,468,210 734,105 2,202,316 1,101,158 550,579 1,651,738 825,869 2,477,608 1,238,804 619,402 309,701 929,104 464,552 232,276 116,138 58,069 174,208 87,104 43,552 21,776 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726

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