7,546,049

7² × 154001

7,546,049 factors as 7^2 × 154001. Its 6 positive divisors give a proper-divisor sum of 1,232,065, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 7^2 × 154001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,778,114

Proper Divisor Sum 1,232,065

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7546037 ← → #7546057

Radix Representation

Decimal	7546049
Binary	11100110010010011000001 (23 bits)
Octal	0o34622301
Hexadecimal	0x7324C1

Divisor Catalog (6)

1 7 49 154,001 1,078,007 7,546,049

Collatz Trajectory (111 steps to reach 1)

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

7,546,049 22,638,148 11,319,074 5,659,537 16,978,612 8,489,306 4,244,653 12,733,960 6,366,980 3,183,490 1,591,745 4,775,236 2,387,618 1,193,809 3,581,428 1,790,714 895,357 2,686,072 1,343,036 671,518 335,759 1,007,278 503,639 1,510,918 755,459 2,266,378 1,133,189 3,399,568 1,699,784 849,892 424,946 212,473 637,420 318,710 159,355 478,066 239,033 717,100 358,550 179,275 537,826 268,913 806,740 403,370 201,685 605,056 302,528 151,264 75,632 37,816 18,908 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978

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