7,579,649

7 × 11 × 173 × 569

Starting at 7,579,649, the Collatz iteration reaches 1 after 173 steps. The first transition is 22738948; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 173 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,521,280

Proper Divisor Sum 1,941,631

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7579639 ← → #7579657

Radix Representation

Decimal	7579649
Binary	11100111010100000000001 (23 bits)
Octal	0o34724001
Hexadecimal	0x73A801

Divisor Catalog (16)

1 7 11 77 173 569 1,211 1,903 3,983 6,259 13,321 43,813 98,437 689,059 1,082,807 7,579,649

Collatz Trajectory (173 steps to reach 1)

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

7,579,649 22,738,948 11,369,474 5,684,737 17,054,212 8,527,106 4,263,553 12,790,660 6,395,330 3,197,665 9,592,996 4,796,498 2,398,249 7,194,748 3,597,374 1,798,687 5,396,062 2,698,031 8,094,094 4,047,047 12,141,142 6,070,571 18,211,714 9,105,857 27,317,572 13,658,786 6,829,393 20,488,180 10,244,090 5,122,045 15,366,136 7,683,068 3,841,534 1,920,767 5,762,302 2,881,151 8,643,454 4,321,727 12,965,182 6,482,591 19,447,774 9,723,887 29,171,662 14,585,831 43,757,494 21,878,747 65,636,242 32,818,121 98,454,364 49,227,182 24,613,591 73,840,774 36,920,387 110,761,162 55,380,581 166,141,744 83,070,872 41,535,436 20,767,718 10,383,859

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