7,363,090

2 × 5 × 7 × 293 × 359

Starting at 7,363,090, the Collatz iteration reaches 1 after 85 steps. The first transition is 3681545; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 293 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,240,960

Proper Divisor Sum 7,877,870

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7363073 ← → #7363123

Radix Representation

Decimal	7363090
Binary	11100000101101000010010 (23 bits)
Octal	0o34055022
Hexadecimal	0x705A12

Divisor Catalog (32)

1 2 5 7 10 14 35 70 293 359 586 718 1,465 1,795 2,051 2,513 2,930 3,590 4,102 5,026 10,255 12,565 20,510 25,130 105,187 210,374 525,935 736,309 1,051,870 1,472,618 3,681,545 7,363,090

Collatz Trajectory (85 steps to reach 1)

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

7,363,090 3,681,545 11,044,636 5,522,318 2,761,159 8,283,478 4,141,739 12,425,218 6,212,609 18,637,828 9,318,914 4,659,457 13,978,372 6,989,186 3,494,593 10,483,780 5,241,890 2,620,945 7,862,836 3,931,418 1,965,709 5,897,128 2,948,564 1,474,282 737,141 2,211,424 1,105,712 552,856 276,428 138,214 69,107 207,322 103,661 310,984 155,492 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300

← Previous Integer #7,363,089 Browse Full Index Next Integer #7,363,091 →