7,598,152

2³ × 83 × 11443

Starting at 7,598,152, the Collatz iteration reaches 1 after 85 steps. The first transition is 3799076; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 83 × 11443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,419,440

Proper Divisor Sum 6,821,288

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7598117 ← → #7598159

Radix Representation

Decimal	7598152
Binary	11100111111000001001000 (23 bits)
Octal	0o34770110
Hexadecimal	0x73F048

Divisor Catalog (16)

1 2 4 8 83 166 332 664 11,443 22,886 45,772 91,544 949,769 1,899,538 3,799,076 7,598,152

Collatz Trajectory (85 steps to reach 1)

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

7,598,152 3,799,076 1,899,538 949,769 2,849,308 1,424,654 712,327 2,136,982 1,068,491 3,205,474 1,602,737 4,808,212 2,404,106 1,202,053 3,606,160 1,803,080 901,540 450,770 225,385 676,156 338,078 169,039 507,118 253,559 760,678 380,339 1,141,018 570,509 1,711,528 855,764 427,882 213,941 641,824 320,912 160,456 80,228 40,114 20,057 60,172 30,086 15,043 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339

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