7,653,984

2⁵ × 3 × 13 × 6133

Starting at 7,653,984, the Collatz iteration reaches 1 after 80 steps. The first transition is 3826992; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 6133

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,640,752

Proper Divisor Sum 13,986,768

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7653967 ← → #7654001

Radix Representation

Decimal	7653984
Binary	11101001100101001100000 (23 bits)
Octal	0o35145140
Hexadecimal	0x74CA60

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 6,133 12,266 18,399 24,532 36,798 49,064 73,596 79,729 98,128 147,192 159,458 196,256 239,187 294,384 318,916 478,374 588,768 637,832 956,748 1,275,664 1,913,496 2,551,328 3,826,992 7,653,984

Collatz Trajectory (80 steps to reach 1)

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

7,653,984 3,826,992 1,913,496 956,748 478,374 239,187 717,562 358,781 1,076,344 538,172 269,086 134,543 403,630 201,815 605,446 302,723 908,170 454,085 1,362,256 681,128 340,564 170,282 85,141 255,424 127,712 63,856 31,928 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38

← Previous Integer #7,653,983 Browse Full Index Next Integer #7,653,985 →