7,580,025

3² × 5² × 59 × 571

Starting at 7,580,025, the Collatz iteration reaches 1 after 248 steps. The first transition is 22740076; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 59 × 571

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,830,960

Proper Divisor Sum 6,250,935

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7580021 ← → #7580047

Radix Representation

Decimal	7580025
Binary	11100111010100101111001 (23 bits)
Octal	0o34724571
Hexadecimal	0x73A979

Divisor Catalog (36)

1 3 5 9 15 25 45 59 75 177 225 295 531 571 885 1,475 1,713 2,655 2,855 4,425 5,139 8,565 13,275 14,275 25,695 33,689 42,825 101,067 128,475 168,445 303,201 505,335 842,225 1,516,005 2,526,675 7,580,025

Collatz Trajectory (248 steps to reach 1)

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

7,580,025 22,740,076 11,370,038 5,685,019 17,055,058 8,527,529 25,582,588 12,791,294 6,395,647 19,186,942 9,593,471 28,780,414 14,390,207 43,170,622 21,585,311 64,755,934 32,377,967 97,133,902 48,566,951 145,700,854 72,850,427 218,551,282 109,275,641 327,826,924 163,913,462 81,956,731 245,870,194 122,935,097 368,805,292 184,402,646 92,201,323 276,603,970 138,301,985 414,905,956 207,452,978 103,726,489 311,179,468 155,589,734 77,794,867 233,384,602 116,692,301 350,076,904 175,038,452 87,519,226 43,759,613 131,278,840 65,639,420 32,819,710 16,409,855 49,229,566 24,614,783 73,844,350 36,922,175 110,766,526 55,383,263 166,149,790 83,074,895 249,224,686 124,612,343 373,837,030

← Previous Integer #7,580,024 Browse Full Index Next Integer #7,580,026 →