7,997,848

2³ × 599 × 1669

Starting at 7,997,848, the Collatz iteration reaches 1 after 142 steps. The first transition is 3998924; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 599 × 1669

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,030,000

Proper Divisor Sum 7,032,152

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #7997839 ← → #7997867

Radix Representation

Decimal	7997848
Binary	11110100000100110011000 (23 bits)
Octal	0o36404630
Hexadecimal	0x7A0998

Divisor Catalog (16)

1 2 4 8 599 1,198 1,669 2,396 3,338 4,792 6,676 13,352 999,731 1,999,462 3,998,924 7,997,848

Collatz Trajectory (142 steps to reach 1)

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

7,997,848 3,998,924 1,999,462 999,731 2,999,194 1,499,597 4,498,792 2,249,396 1,124,698 562,349 1,687,048 843,524 421,762 210,881 632,644 316,322 158,161 474,484 237,242 118,621 355,864 177,932 88,966 44,483 133,450 66,725 200,176 100,088 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458

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