λ
Ratio Atlas

7,462,365

3 × 5 × 497491
Deficient Odd Composite

7,462,365 factors as 3 × 5 × 497491. Its 8 positive divisors give a proper-divisor sum of 4,477,443, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3 × 5 × 497491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,939,808
Proper Divisor Sum 4,477,443
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7462333 ← → #7462381

Radix Representation

Decimal 7462365
Binary 11100011101110111011101 (23 bits)
Octal 0o34356735
Hexadecimal 0x71DDDD

Divisor Catalog (8)

1 3 5 15 497,491 1,492,473 2,487,455 7,462,365

Collatz Trajectory (111 steps to reach 1)

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

7,462,365 22,387,096 11,193,548 5,596,774 2,798,387 8,395,162 4,197,581 12,592,744 6,296,372 3,148,186 1,574,093 4,722,280 2,361,140 1,180,570 590,285 1,770,856 885,428 442,714 221,357 664,072 332,036 166,018 83,009 249,028 124,514 62,257 186,772 93,386 46,693 140,080 70,040 35,020 17,510 8,755 26,266 13,133 39,400 19,700 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316

More profiles

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