7,121,153

13² × 29 × 1453

7,121,153 factors as 13^2 × 29 × 1453. Its 12 positive divisors give a proper-divisor sum of 861,307, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 13^2 × 29 × 1453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,982,460

Proper Divisor Sum 861,307

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7121141 ← → #7121161

Radix Representation

Decimal	7121153
Binary	11011001010100100000001 (23 bits)
Octal	0o33124401
Hexadecimal	0x6CA901

Divisor Catalog (12)

1 13 29 169 377 1,453 4,901 18,889 42,137 245,557 547,781 7,121,153

Collatz Trajectory (173 steps to reach 1)

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

7,121,153 21,363,460 10,681,730 5,340,865 16,022,596 8,011,298 4,005,649 12,016,948 6,008,474 3,004,237 9,012,712 4,506,356 2,253,178 1,126,589 3,379,768 1,689,884 844,942 422,471 1,267,414 633,707 1,901,122 950,561 2,851,684 1,425,842 712,921 2,138,764 1,069,382 534,691 1,604,074 802,037 2,406,112 1,203,056 601,528 300,764 150,382 75,191 225,574 112,787 338,362 169,181 507,544 253,772 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006

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