7,558,125

3 × 5⁴ × 29 × 139

Starting at 7,558,125, the Collatz iteration reaches 1 after 248 steps. The first transition is 22674376; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^4 × 29 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 13,120,800

Proper Divisor Sum 5,562,675

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7558121 ← → #7558129

Radix Representation

Decimal	7558125
Binary	11100110101001111101101 (23 bits)
Octal	0o34651755
Hexadecimal	0x7353ED

Divisor Catalog (40)

1 3 5 15 25 29 75 87 125 139 145 375 417 435 625 695 725 1,875 2,085 2,175 3,475 3,625 4,031 10,425 10,875 12,093 17,375 18,125 20,155 52,125 54,375 60,465 86,875 100,775 260,625 302,325 503,875 1,511,625 2,519,375 7,558,125

Collatz Trajectory (248 steps to reach 1)

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

7,558,125 22,674,376 11,337,188 5,668,594 2,834,297 8,502,892 4,251,446 2,125,723 6,377,170 3,188,585 9,565,756 4,782,878 2,391,439 7,174,318 3,587,159 10,761,478 5,380,739 16,142,218 8,071,109 24,213,328 12,106,664 6,053,332 3,026,666 1,513,333 4,540,000 2,270,000 1,135,000 567,500 283,750 141,875 425,626 212,813 638,440 319,220 159,610 79,805 239,416 119,708 59,854 29,927 89,782 44,891 134,674 67,337 202,012 101,006 50,503 151,510 75,755 227,266 113,633 340,900 170,450 85,225 255,676 127,838 63,919 191,758 95,879 287,638

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