8,027,539

13 × 53 × 61 × 191

Starting at 8,027,539, the Collatz iteration reaches 1 after 155 steps. The first transition is 24082618; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 53 × 61 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,999,424

Proper Divisor Sum 971,885

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8027507 ← → #8027563

Radix Representation

Decimal	8027539
Binary	11110100111110110010011 (23 bits)
Octal	0o36476623
Hexadecimal	0x7A7D93

Divisor Catalog (16)

1 13 53 61 191 689 793 2,483 3,233 10,123 11,651 42,029 131,599 151,463 617,503 8,027,539

Collatz Trajectory (155 steps to reach 1)

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

8,027,539 24,082,618 12,041,309 36,123,928 18,061,964 9,030,982 4,515,491 13,546,474 6,773,237 20,319,712 10,159,856 5,079,928 2,539,964 1,269,982 634,991 1,904,974 952,487 2,857,462 1,428,731 4,286,194 2,143,097 6,429,292 3,214,646 1,607,323 4,821,970 2,410,985 7,232,956 3,616,478 1,808,239 5,424,718 2,712,359 8,137,078 4,068,539 12,205,618 6,102,809 18,308,428 9,154,214 4,577,107 13,731,322 6,865,661 20,596,984 10,298,492 5,149,246 2,574,623 7,723,870 3,861,935 11,585,806 5,792,903 17,378,710 8,689,355 26,068,066 13,034,033 39,102,100 19,551,050 9,775,525 29,326,576 14,663,288 7,331,644 3,665,822 1,832,911

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