7,997,488

2⁴ × 53 × 9431

7,997,488 factors as 2^4 × 53 × 9431. Its 20 positive divisors give a proper-divisor sum of 7,791,680, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 53 × 9431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,789,168

Proper Divisor Sum 7,791,680

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #7997477 ← → #7997489

Radix Representation

Decimal	7997488
Binary	11110100000100000110000 (23 bits)
Octal	0o36404060
Hexadecimal	0x7A0830

Divisor Catalog (20)

Collatz Trajectory (142 steps to reach 1)

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

7,997,488 3,998,744 1,999,372 999,686 499,843 1,499,530 749,765 2,249,296 1,124,648 562,324 281,162 140,581 421,744 210,872 105,436 52,718 26,359 79,078 39,539 118,618 59,309 177,928 88,964 44,482 22,241 66,724 33,362 16,681 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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