9,503,823

3 × 7 × 47 × 9629

Starting at 9,503,823, the Collatz iteration reaches 1 after 101 steps. The first transition is 28511470; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 9629

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,791,680

Proper Divisor Sum 5,287,857

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9503777 ← → #9503843

Radix Representation

Decimal	9503823
Binary	100100010000010001001111 (24 bits)
Octal	0o44202117
Hexadecimal	0x91044F

Divisor Catalog (16)

1 3 7 21 47 141 329 987 9,629 28,887 67,403 202,209 452,563 1,357,689 3,167,941 9,503,823

Collatz Trajectory (101 steps to reach 1)

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

9,503,823 28,511,470 14,255,735 42,767,206 21,383,603 64,150,810 32,075,405 96,226,216 48,113,108 24,056,554 12,028,277 36,084,832 18,042,416 9,021,208 4,510,604 2,255,302 1,127,651 3,382,954 1,691,477 5,074,432 2,537,216 1,268,608 634,304 317,152 158,576 79,288 39,644 19,822 9,911 29,734 14,867 44,602 22,301 66,904 33,452 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676

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