λ
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Atlas › Integer Profiles › Node 1,507,653

1,507,653

34 × 7 × 2659
Deficient Odd Composite

1,507,653 factors as 3^4 × 7 × 2659. Its 20 positive divisors give a proper-divisor sum of 1,067,227, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 2659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,574,880
Proper Divisor Sum 1,067,227
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1507651 ← → #1507657

Radix Representation

Decimal 1507653
Binary 101110000000101000101 (21 bits)
Octal 0o5600505
Hexadecimal 0x170145

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 2,659 7,977 18,613 23,931 55,839 71,793 167,517 215,379 502,551 1,507,653

Collatz Trajectory (88 steps to reach 1)

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

1,507,653 4,522,960 2,261,480 1,130,740 565,370 282,685 848,056 424,028 212,014 106,007 318,022 159,011 477,034 238,517 715,552 357,776 178,888 89,444 44,722 22,361 67,084 33,542 16,771 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266

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