7,788,148

2² × 127 × 15331

Starting at 7,788,148, the Collatz iteration reaches 1 after 155 steps. The first transition is 3894074; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 127 × 15331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,737,472

Proper Divisor Sum 5,949,324

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7788133 ← → #7788149

Radix Representation

Decimal	7788148
Binary	11101101101011001110100 (23 bits)
Octal	0o35553164
Hexadecimal	0x76D674

Divisor Catalog (12)

1 2 4 127 254 508 15,331 30,662 61,324 1,947,037 3,894,074 7,788,148

Collatz Trajectory (155 steps to reach 1)

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

7,788,148 3,894,074 1,947,037 5,841,112 2,920,556 1,460,278 730,139 2,190,418 1,095,209 3,285,628 1,642,814 821,407 2,464,222 1,232,111 3,696,334 1,848,167 5,544,502 2,772,251 8,316,754 4,158,377 12,475,132 6,237,566 3,118,783 9,356,350 4,678,175 14,034,526 7,017,263 21,051,790 10,525,895 31,577,686 15,788,843 47,366,530 23,683,265 71,049,796 35,524,898 17,762,449 53,287,348 26,643,674 13,321,837 39,965,512 19,982,756 9,991,378 4,995,689 14,987,068 7,493,534 3,746,767 11,240,302 5,620,151 16,860,454 8,430,227 25,290,682 12,645,341 37,936,024 18,968,012 9,484,006 4,742,003 14,226,010 7,113,005 21,339,016 10,669,508

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