1,509,762

2 × 3 × 31 × 8117

Starting at 1,509,762, the Collatz iteration reaches 1 after 181 steps. The first transition is 754881; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 8117

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,117,312

Proper Divisor Sum 1,607,550

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1509757 ← → #1509779

Radix Representation

Decimal	1509762
Binary	101110000100110000010 (21 bits)
Octal	0o5604602
Hexadecimal	0x170982

Divisor Catalog (16)

1 2 3 6 31 62 93 186 8,117 16,234 24,351 48,702 251,627 503,254 754,881 1,509,762

Collatz Trajectory (181 steps to reach 1)

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

1,509,762 754,881 2,264,644 1,132,322 566,161 1,698,484 849,242 424,621 1,273,864 636,932 318,466 159,233 477,700 238,850 119,425 358,276 179,138 89,569 268,708 134,354 67,177 201,532 100,766 50,383 151,150 75,575 226,726 113,363 340,090 170,045 510,136 255,068 127,534 63,767 191,302 95,651 286,954 143,477 430,432 215,216 107,608 53,804 26,902 13,451 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578

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